Practice · Total equals the sum of the rows · Sensim Math

Variant 1 easy

Mason and his friends counted how many strawberries each of them picked at a weekend farm and recorded the results in a table. If Mia picked $3$ more strawberries than Emma, how many strawberries did Hana pick?

Number of strawberries picked at the weekend farm

Name	Mason	Mia	Emma	Hana	Total
Strawberries	$8$		$6$		$30$

Your answer

Show solution

1 · Understandwhat's really being asked

A table lists strawberries picked: Mason 8, Emma 6, total 30, with Mia and Hana blank. Mia picked 3 more than Emma. I need how many Hana picked.

Givens

Mason = 8, Emma = 6 strawberries.
Total for all four = 30.
Mia picked 3 more strawberries than Emma.

Unknowns

How many strawberries Mia picked.
How many strawberries Hana picked.

Constraints

The total equals the sum of all four people's counts.

2 · Planchoose the strategy

#7 Identify Subproblems · also uses: #11 Work Backwards

Find Mia from the '3 more than Emma' clue, then use the fact that the total is the sum of the rows to work backwards to Hana. Two small subtraction/addition subproblems.

3 · Execute3 carry out the plan

1Find Mia

#7 Identify Subproblems 2.OA.A.1

Mia picked 3 more than Emma's 6: 6 + 3 = 9 strawberries.

6 + 3 = 9

'3 more' means add 3 to Emma's count.

2Find Mia and Hana together

#7 Identify Subproblems 2.MD.D.10

The four counts add to 30. Subtract Mason and Emma: 30 - 8 - 6 = 16, which is Mia plus Hana.

30 - 8 - 6 = 16

The total minus the two known rows leaves the other two rows combined.

3Find Hana

#11 Work Backwards 2.OA.A.1

Mia plus Hana is 16 and Mia is 9, so Hana = 16 - 9 = 7 strawberries.

16 - 9 = 7

Working backwards from the pair total and the known Mia gives Hana.

Answer: 7 strawberries

4 · Reviewdoes it hold up?

Check the full table: 8 + 9 + 6 + 7 = 30, matching the total, and Mia (9) is 3 more than Emma (6). Both conditions hold.

Another way: Subtract all three known/derived counts from the total at once: 30 - 8 - 9 - 6 = 7 for Hana -- same answer.

Standardsmin grade 2

2.MD.D.10 Draw and interpret picture graphs and bar graphs — Using the table's total as the sum of its rows to set up the missing values.
2.OA.A.1 Solve one- and two-step word problems using addition and subtraction within 100 — Finding Mia from '3 more than Emma' and subtracting to reach Hana.

💡Takeaway. This only needs the Grade 2 idea that a table's total is the sum of its rows -- then add and subtract!

Variant 2 easy

Mason and his friends counted how many strawberries each of them picked at a weekend farm and recorded the results in a table. If Mia picked $7$ more strawberries than Emma, how many strawberries did Hana pick?

Number of strawberries picked at the weekend farm

Name	Mason	Mia	Emma	Hana	Total
Strawberries	$5$		$8$		$33$

Your answer

Show solution

1 · Understandwhat's really being asked

A table lists strawberries picked: Mason 5, Emma 8, total 33, with Mia and Hana blank. Mia picked 7 more than Emma. I need how many Hana picked.

Givens

Mason = 5, Emma = 8 strawberries.
Total for all four = 33.
Mia picked 7 more strawberries than Emma.

Unknowns

How many strawberries Mia picked.
How many strawberries Hana picked.

Constraints

The total equals the sum of all four people's counts.

2 · Planchoose the strategy

#7 Identify Subproblems · also uses: #11 Work Backwards

Find Mia from the '7 more than Emma' clue, then use the fact that the total is the sum of the rows to work backwards to Hana. Two small subtraction/addition subproblems.

3 · Execute3 carry out the plan

1Find Mia

#7 Identify Subproblems 2.OA.A.1

Mia picked 7 more than Emma's 8: 8 + 7 = 15 strawberries.

8 + 7 = 15

'7 more' means add 7 to Emma's count.

2Find Mia and Hana together

#7 Identify Subproblems 2.MD.D.10

The four counts add to 33. Subtract Mason and Emma: 33 - 5 - 8 = 20, which is Mia plus Hana.

33 - 5 - 8 = 20

The total minus the two known rows leaves the other two rows combined.

3Find Hana

#11 Work Backwards 2.OA.A.1

Mia plus Hana is 20 and Mia is 15, so Hana = 20 - 15 = 5 strawberries.

20 - 15 = 5

Working backwards from the pair total and the known Mia gives Hana.

Answer: 5 strawberries

4 · Reviewdoes it hold up?

Check the full table: 5 + 15 + 8 + 5 = 33, matching the total, and Mia (15) is 7 more than Emma (8). Both conditions hold.

Another way: Subtract all three known/derived counts from the total at once: 33 - 5 - 15 - 8 = 5 for Hana -- same answer.

Standardsmin grade 2

2.MD.D.10 Draw and interpret picture graphs and bar graphs — Using the table's total as the sum of its rows to set up the missing values.
2.OA.A.1 Solve one- and two-step word problems using addition and subtraction within 100 — Finding Mia from '7 more than Emma' and subtracting to reach Hana.

💡Takeaway. This only needs the Grade 2 idea that a table's total is the sum of its rows -- then add and subtract!

Variant 3 easy

Mason and his friends counted how many strawberries each of them picked at a weekend farm and recorded the results in a table. If Mia picked $4$ more strawberries than Emma, how many strawberries did Hana pick?

Number of strawberries picked at the weekend farm

Name	Mason	Mia	Emma	Hana	Total
Strawberries	$9$		$7$		$35$

Your answer

Show solution

1 · Understandwhat's really being asked

A table lists strawberries picked: Mason 9, Emma 7, total 35, with Mia and Hana blank. Mia picked 4 more than Emma. I need how many Hana picked.

Givens

Mason = 9, Emma = 7 strawberries.
Total for all four = 35.
Mia picked 4 more strawberries than Emma.

Unknowns

How many strawberries Mia picked.
How many strawberries Hana picked.

Constraints

The total equals the sum of all four people's counts.

2 · Planchoose the strategy

#7 Identify Subproblems · also uses: #11 Work Backwards

Find Mia from the '4 more than Emma' clue, then use the fact that the total is the sum of the rows to work backwards to Hana. Two small subtraction/addition subproblems.

3 · Execute3 carry out the plan

1Find Mia

#7 Identify Subproblems 2.OA.A.1

Mia picked 4 more than Emma's 7: 7 + 4 = 11 strawberries.

7 + 4 = 11

'4 more' means add 4 to Emma's count.

2Find Mia and Hana together

#7 Identify Subproblems 2.MD.D.10

The four counts add to 35. Subtract Mason and Emma: 35 - 9 - 7 = 19, which is Mia plus Hana.

35 - 9 - 7 = 19

The total minus the two known rows leaves the other two rows combined.

3Find Hana

#11 Work Backwards 2.OA.A.1

Mia plus Hana is 19 and Mia is 11, so Hana = 19 - 11 = 8 strawberries.

19 - 11 = 8

Working backwards from the pair total and the known Mia gives Hana.

Answer: 8 strawberries

4 · Reviewdoes it hold up?

Check the full table: 9 + 11 + 7 + 8 = 35, matching the total, and Mia (11) is 4 more than Emma (7). Both conditions hold.

Another way: Subtract all three known/derived counts from the total at once: 35 - 9 - 11 - 7 = 8 for Hana -- same answer.

Standardsmin grade 2

2.MD.D.10 Draw and interpret picture graphs and bar graphs — Using the table's total as the sum of its rows to set up the missing values.
2.OA.A.1 Solve one- and two-step word problems using addition and subtraction within 100 — Finding Mia from '4 more than Emma' and subtracting to reach Hana.

💡Takeaway. This only needs the Grade 2 idea that a table's total is the sum of its rows -- then add and subtract!

Variant 4 easy

Mason and his friends counted how many strawberries each of them picked at a weekend farm and recorded the results in a table. If Mia picked $4$ more strawberries than Emma, how many strawberries did Hana pick?

Number of strawberries picked at the weekend farm

Name	Mason	Mia	Emma	Hana	Total
Strawberries	$6$		$10$		$36$

Your answer

Show solution

1 · Understandwhat's really being asked

A table lists strawberries picked: Mason 6, Emma 10, total 36, with Mia and Hana blank. Mia picked 4 more than Emma. I need how many Hana picked.

Givens

Mason = 6, Emma = 10 strawberries.
Total for all four = 36.
Mia picked 4 more strawberries than Emma.

Unknowns

How many strawberries Mia picked.
How many strawberries Hana picked.

Constraints

The total equals the sum of all four people's counts.

2 · Planchoose the strategy

#7 Identify Subproblems · also uses: #11 Work Backwards

Find Mia from the '4 more than Emma' clue, then use the fact that the total is the sum of the rows to work backwards to Hana. Two small subtraction/addition subproblems.

3 · Execute3 carry out the plan

1Find Mia

#7 Identify Subproblems 2.OA.A.1

Mia picked 4 more than Emma's 10: 10 + 4 = 14 strawberries.

10 + 4 = 14

'4 more' means add 4 to Emma's count.

2Find Mia and Hana together

#7 Identify Subproblems 2.MD.D.10

The four counts add to 36. Subtract Mason and Emma: 36 - 6 - 10 = 20, which is Mia plus Hana.

36 - 6 - 10 = 20

The total minus the two known rows leaves the other two rows combined.

3Find Hana

#11 Work Backwards 2.OA.A.1

Mia plus Hana is 20 and Mia is 14, so Hana = 20 - 14 = 6 strawberries.

20 - 14 = 6

Working backwards from the pair total and the known Mia gives Hana.

Answer: 6 strawberries

4 · Reviewdoes it hold up?

Check the full table: 6 + 14 + 10 + 6 = 36, matching the total, and Mia (14) is 4 more than Emma (10). Both conditions hold.

Another way: Subtract all three known/derived counts from the total at once: 36 - 6 - 14 - 10 = 6 for Hana -- same answer.

Standardsmin grade 2

2.MD.D.10 Draw and interpret picture graphs and bar graphs — Using the table's total as the sum of its rows to set up the missing values.
2.OA.A.1 Solve one- and two-step word problems using addition and subtraction within 100 — Finding Mia from '4 more than Emma' and subtracting to reach Hana.

💡Takeaway. This only needs the Grade 2 idea that a table's total is the sum of its rows -- then add and subtract!

Variant 5 medium

Mason and his friends counted how many strawberries each of them picked at a weekend farm and recorded the results in a table. If Mia picked $2$ more strawberries than Emma, how many strawberries did Hana pick?

Number of strawberries picked at the weekend farm

Name	Mason	Mia	Emma	Hana	Total
Strawberries	$7$		$9$		$38$

Your answer

Show solution

1 · Understandwhat's really being asked

A table lists strawberries picked: Mason 7, Emma 9, total 38, with Mia and Hana blank. Mia picked 2 more than Emma. I need how many Hana picked.

Givens

Mason = 7, Emma = 9 strawberries.
Total for all four = 38.
Mia picked 2 more strawberries than Emma.

Unknowns

How many strawberries Mia picked.
How many strawberries Hana picked.

Constraints

The total equals the sum of all four people's counts.

2 · Planchoose the strategy

#7 Identify Subproblems · also uses: #11 Work Backwards

Find Mia from the '2 more than Emma' clue, then use the fact that the total is the sum of the rows to work backwards to Hana. Two small subtraction/addition subproblems.

3 · Execute3 carry out the plan

1Find Mia

#7 Identify Subproblems 2.OA.A.1

Mia picked 2 more than Emma's 9: 9 + 2 = 11 strawberries.

9 + 2 = 11

'2 more' means add 2 to Emma's count.

2Find Mia and Hana together

#7 Identify Subproblems 2.MD.D.10

The four counts add to 38. Subtract Mason and Emma: 38 - 7 - 9 = 22, which is Mia plus Hana.

38 - 7 - 9 = 22

The total minus the two known rows leaves the other two rows combined.

3Find Hana

#11 Work Backwards 2.OA.A.1

Mia plus Hana is 22 and Mia is 11, so Hana = 22 - 11 = 11 strawberries.

22 - 11 = 11

Working backwards from the pair total and the known Mia gives Hana.

Answer: 11 strawberries

4 · Reviewdoes it hold up?

Check the full table: 7 + 11 + 9 + 11 = 38, matching the total, and Mia (11) is 2 more than Emma (9). Both conditions hold.

Another way: Subtract all three known/derived counts from the total at once: 38 - 7 - 11 - 9 = 11 for Hana -- same answer.

Standardsmin grade 2

2.MD.D.10 Draw and interpret picture graphs and bar graphs — Using the table's total as the sum of its rows to set up the missing values.
2.OA.A.1 Solve one- and two-step word problems using addition and subtraction within 100 — Finding Mia from '2 more than Emma' and subtracting to reach Hana.

💡Takeaway. This only needs the Grade 2 idea that a table's total is the sum of its rows -- then add and subtract!

Variant 6 medium

Mason and his friends counted how many strawberries each of them picked at a weekend farm and recorded the results in a table. If Mia picked $6$ more strawberries than Emma, how many strawberries did Hana pick?

Number of strawberries picked at the weekend farm

Name	Mason	Mia	Emma	Hana	Total
Strawberries	$10$		$5$		$40$

Your answer

Show solution

1 · Understandwhat's really being asked

A table lists strawberries picked: Mason 10, Emma 5, total 40, with Mia and Hana blank. Mia picked 6 more than Emma. I need how many Hana picked.

Givens

Mason = 10, Emma = 5 strawberries.
Total for all four = 40.
Mia picked 6 more strawberries than Emma.

Unknowns

How many strawberries Mia picked.
How many strawberries Hana picked.

Constraints

The total equals the sum of all four people's counts.

2 · Planchoose the strategy

#7 Identify Subproblems · also uses: #11 Work Backwards

Find Mia from the '6 more than Emma' clue, then use the fact that the total is the sum of the rows to work backwards to Hana. Two small subtraction/addition subproblems.

3 · Execute3 carry out the plan

1Find Mia

#7 Identify Subproblems 2.OA.A.1

Mia picked 6 more than Emma's 5: 5 + 6 = 11 strawberries.

5 + 6 = 11

'6 more' means add 6 to Emma's count.

2Find Mia and Hana together

#7 Identify Subproblems 2.MD.D.10

The four counts add to 40. Subtract Mason and Emma: 40 - 10 - 5 = 25, which is Mia plus Hana.

40 - 10 - 5 = 25

The total minus the two known rows leaves the other two rows combined.

3Find Hana

#11 Work Backwards 2.OA.A.1

Mia plus Hana is 25 and Mia is 11, so Hana = 25 - 11 = 14 strawberries.

25 - 11 = 14

Working backwards from the pair total and the known Mia gives Hana.

Answer: 14 strawberries

4 · Reviewdoes it hold up?

Check the full table: 10 + 11 + 5 + 14 = 40, matching the total, and Mia (11) is 6 more than Emma (5). Both conditions hold.

Another way: Subtract all three known/derived counts from the total at once: 40 - 10 - 11 - 5 = 14 for Hana -- same answer.

Standardsmin grade 2

2.MD.D.10 Draw and interpret picture graphs and bar graphs — Using the table's total as the sum of its rows to set up the missing values.
2.OA.A.1 Solve one- and two-step word problems using addition and subtraction within 100 — Finding Mia from '6 more than Emma' and subtracting to reach Hana.

💡Takeaway. This only needs the Grade 2 idea that a table's total is the sum of its rows -- then add and subtract!

Variant 7 medium

Mason and his friends counted how many strawberries each of them picked at a weekend farm and recorded the results in a table. If Mia picked $3$ more strawberries than Emma, how many strawberries did Hana pick?

Number of strawberries picked at the weekend farm

Name	Mason	Mia	Emma	Hana	Total
Strawberries	$11$		$7$		$42$

Your answer

Show solution

1 · Understandwhat's really being asked

A table lists strawberries picked: Mason 11, Emma 7, total 42, with Mia and Hana blank. Mia picked 3 more than Emma. I need how many Hana picked.

Givens

Mason = 11, Emma = 7 strawberries.
Total for all four = 42.
Mia picked 3 more strawberries than Emma.

Unknowns

How many strawberries Mia picked.
How many strawberries Hana picked.

Constraints

The total equals the sum of all four people's counts.

2 · Planchoose the strategy

#7 Identify Subproblems · also uses: #11 Work Backwards

Find Mia from the '3 more than Emma' clue, then use the fact that the total is the sum of the rows to work backwards to Hana. Two small subtraction/addition subproblems.

3 · Execute3 carry out the plan

1Find Mia

#7 Identify Subproblems 2.OA.A.1

Mia picked 3 more than Emma's 7: 7 + 3 = 10 strawberries.

7 + 3 = 10

'3 more' means add 3 to Emma's count.

2Find Mia and Hana together

#7 Identify Subproblems 2.MD.D.10

The four counts add to 42. Subtract Mason and Emma: 42 - 11 - 7 = 24, which is Mia plus Hana.

42 - 11 - 7 = 24

The total minus the two known rows leaves the other two rows combined.

3Find Hana

#11 Work Backwards 2.OA.A.1

Mia plus Hana is 24 and Mia is 10, so Hana = 24 - 10 = 14 strawberries.

24 - 10 = 14

Working backwards from the pair total and the known Mia gives Hana.

Answer: 14 strawberries

4 · Reviewdoes it hold up?

Check the full table: 11 + 10 + 7 + 14 = 42, matching the total, and Mia (10) is 3 more than Emma (7). Both conditions hold.

Another way: Subtract all three known/derived counts from the total at once: 42 - 11 - 10 - 7 = 14 for Hana -- same answer.

Standardsmin grade 2

2.MD.D.10 Draw and interpret picture graphs and bar graphs — Using the table's total as the sum of its rows to set up the missing values.
2.OA.A.1 Solve one- and two-step word problems using addition and subtraction within 100 — Finding Mia from '3 more than Emma' and subtracting to reach Hana.

💡Takeaway. This only needs the Grade 2 idea that a table's total is the sum of its rows -- then add and subtract!

Variant 8 medium

Mason and his friends counted how many strawberries each of them picked at a weekend farm and recorded the results in a table. If Mia picked $5$ more strawberries than Emma, how many strawberries did Hana pick?

Number of strawberries picked at the weekend farm

Name	Mason	Mia	Emma	Hana	Total
Strawberries	$10$		$10$		$44$

Your answer

Show solution

1 · Understandwhat's really being asked

A table lists strawberries picked: Mason 10, Emma 10, total 44, with Mia and Hana blank. Mia picked 5 more than Emma. I need how many Hana picked.

Givens

Mason = 10, Emma = 10 strawberries.
Total for all four = 44.
Mia picked 5 more strawberries than Emma.

Unknowns

How many strawberries Mia picked.
How many strawberries Hana picked.

Constraints

The total equals the sum of all four people's counts.

2 · Planchoose the strategy

#7 Identify Subproblems · also uses: #11 Work Backwards

Find Mia from the '5 more than Emma' clue, then use the fact that the total is the sum of the rows to work backwards to Hana. Two small subtraction/addition subproblems.

3 · Execute3 carry out the plan

1Find Mia

#7 Identify Subproblems 2.OA.A.1

Mia picked 5 more than Emma's 10: 10 + 5 = 15 strawberries.

10 + 5 = 15

'5 more' means add 5 to Emma's count.

2Find Mia and Hana together

#7 Identify Subproblems 2.MD.D.10

The four counts add to 44. Subtract Mason and Emma: 44 - 10 - 10 = 24, which is Mia plus Hana.

44 - 10 - 10 = 24

The total minus the two known rows leaves the other two rows combined.

3Find Hana

#11 Work Backwards 2.OA.A.1

Mia plus Hana is 24 and Mia is 15, so Hana = 24 - 15 = 9 strawberries.

24 - 15 = 9

Working backwards from the pair total and the known Mia gives Hana.

Answer: 9 strawberries

4 · Reviewdoes it hold up?

Check the full table: 10 + 15 + 10 + 9 = 44, matching the total, and Mia (15) is 5 more than Emma (10). Both conditions hold.

Another way: Subtract all three known/derived counts from the total at once: 44 - 10 - 15 - 10 = 9 for Hana -- same answer.

Standardsmin grade 2

2.MD.D.10 Draw and interpret picture graphs and bar graphs — Using the table's total as the sum of its rows to set up the missing values.
2.OA.A.1 Solve one- and two-step word problems using addition and subtraction within 100 — Finding Mia from '5 more than Emma' and subtracting to reach Hana.

💡Takeaway. This only needs the Grade 2 idea that a table's total is the sum of its rows -- then add and subtract!

Variant 9 hard

Mason and his friends counted how many strawberries each of them picked at a weekend farm and recorded the results in a table. If Mia picked $5$ more strawberries than Emma, how many strawberries did Hana pick?

Number of strawberries picked at the weekend farm

Name	Mason	Mia	Emma	Hana	Total
Strawberries	$12$		$8$		$45$

Your answer

Show solution

1 · Understandwhat's really being asked

A table lists strawberries picked: Mason 12, Emma 8, total 45, with Mia and Hana blank. Mia picked 5 more than Emma. I need how many Hana picked.

Givens

Mason = 12, Emma = 8 strawberries.
Total for all four = 45.
Mia picked 5 more strawberries than Emma.

Unknowns

How many strawberries Mia picked.
How many strawberries Hana picked.

Constraints

The total equals the sum of all four people's counts.

2 · Planchoose the strategy

#7 Identify Subproblems · also uses: #11 Work Backwards

Find Mia from the '5 more than Emma' clue, then use the fact that the total is the sum of the rows to work backwards to Hana. Two small subtraction/addition subproblems.

3 · Execute3 carry out the plan

1Find Mia

#7 Identify Subproblems 2.OA.A.1

Mia picked 5 more than Emma's 8: 8 + 5 = 13 strawberries.

8 + 5 = 13

'5 more' means add 5 to Emma's count.

2Find Mia and Hana together

#7 Identify Subproblems 2.MD.D.10

The four counts add to 45. Subtract Mason and Emma: 45 - 12 - 8 = 25, which is Mia plus Hana.

45 - 12 - 8 = 25

The total minus the two known rows leaves the other two rows combined.

3Find Hana

#11 Work Backwards 2.OA.A.1

Mia plus Hana is 25 and Mia is 13, so Hana = 25 - 13 = 12 strawberries.

25 - 13 = 12

Working backwards from the pair total and the known Mia gives Hana.

Answer: 12 strawberries

4 · Reviewdoes it hold up?

Check the full table: 12 + 13 + 8 + 12 = 45, matching the total, and Mia (13) is 5 more than Emma (8). Both conditions hold.

Another way: Subtract all three known/derived counts from the total at once: 45 - 12 - 13 - 8 = 12 for Hana -- same answer.

Standardsmin grade 2

2.MD.D.10 Draw and interpret picture graphs and bar graphs — Using the table's total as the sum of its rows to set up the missing values.
2.OA.A.1 Solve one- and two-step word problems using addition and subtraction within 100 — Finding Mia from '5 more than Emma' and subtracting to reach Hana.

💡Takeaway. This only needs the Grade 2 idea that a table's total is the sum of its rows -- then add and subtract!

Variant 10 hard

Mason and his friends counted how many strawberries each of them picked at a weekend farm and recorded the results in a table. If Mia picked $4$ more strawberries than Emma, how many strawberries did Hana pick?

Number of strawberries picked at the weekend farm

Name	Mason	Mia	Emma	Hana	Total
Strawberries	$8$		$11$		$46$

Your answer

Show solution

1 · Understandwhat's really being asked

A table lists strawberries picked: Mason 8, Emma 11, total 46, with Mia and Hana blank. Mia picked 4 more than Emma. I need how many Hana picked.

Givens

Mason = 8, Emma = 11 strawberries.
Total for all four = 46.
Mia picked 4 more strawberries than Emma.

Unknowns

How many strawberries Mia picked.
How many strawberries Hana picked.

Constraints

The total equals the sum of all four people's counts.

2 · Planchoose the strategy

#7 Identify Subproblems · also uses: #11 Work Backwards

Find Mia from the '4 more than Emma' clue, then use the fact that the total is the sum of the rows to work backwards to Hana. Two small subtraction/addition subproblems.

3 · Execute3 carry out the plan

1Find Mia

#7 Identify Subproblems 2.OA.A.1

Mia picked 4 more than Emma's 11: 11 + 4 = 15 strawberries.

11 + 4 = 15

'4 more' means add 4 to Emma's count.

2Find Mia and Hana together

#7 Identify Subproblems 2.MD.D.10

The four counts add to 46. Subtract Mason and Emma: 46 - 8 - 11 = 27, which is Mia plus Hana.

46 - 8 - 11 = 27

The total minus the two known rows leaves the other two rows combined.

3Find Hana

#11 Work Backwards 2.OA.A.1

Mia plus Hana is 27 and Mia is 15, so Hana = 27 - 15 = 12 strawberries.

27 - 15 = 12

Working backwards from the pair total and the known Mia gives Hana.

Answer: 12 strawberries

4 · Reviewdoes it hold up?

Check the full table: 8 + 15 + 11 + 12 = 46, matching the total, and Mia (15) is 4 more than Emma (11). Both conditions hold.

Another way: Subtract all three known/derived counts from the total at once: 46 - 8 - 15 - 11 = 12 for Hana -- same answer.

Standardsmin grade 2

2.MD.D.10 Draw and interpret picture graphs and bar graphs — Using the table's total as the sum of its rows to set up the missing values.
2.OA.A.1 Solve one- and two-step word problems using addition and subtraction within 100 — Finding Mia from '4 more than Emma' and subtracting to reach Hana.

💡Takeaway. This only needs the Grade 2 idea that a table's total is the sum of its rows -- then add and subtract!

Variant 11 hard

Mason and his friends counted how many strawberries each of them picked at a weekend farm and recorded the results in a table. If Mia picked $2$ more strawberries than Emma, how many strawberries did Hana pick?

Number of strawberries picked at the weekend farm

Name	Mason	Mia	Emma	Hana	Total
Strawberries	$14$		$6$		$48$

Your answer

Show solution

1 · Understandwhat's really being asked

A table lists strawberries picked: Mason 14, Emma 6, total 48, with Mia and Hana blank. Mia picked 2 more than Emma. I need how many Hana picked.

Givens

Mason = 14, Emma = 6 strawberries.
Total for all four = 48.
Mia picked 2 more strawberries than Emma.

Unknowns

How many strawberries Mia picked.
How many strawberries Hana picked.

Constraints

The total equals the sum of all four people's counts.

2 · Planchoose the strategy

#7 Identify Subproblems · also uses: #11 Work Backwards

Find Mia from the '2 more than Emma' clue, then use the fact that the total is the sum of the rows to work backwards to Hana. Two small subtraction/addition subproblems.

3 · Execute3 carry out the plan

1Find Mia

#7 Identify Subproblems 2.OA.A.1

Mia picked 2 more than Emma's 6: 6 + 2 = 8 strawberries.

6 + 2 = 8

'2 more' means add 2 to Emma's count.

2Find Mia and Hana together

#7 Identify Subproblems 2.MD.D.10

The four counts add to 48. Subtract Mason and Emma: 48 - 14 - 6 = 28, which is Mia plus Hana.

48 - 14 - 6 = 28

The total minus the two known rows leaves the other two rows combined.

3Find Hana

#11 Work Backwards 2.OA.A.1

Mia plus Hana is 28 and Mia is 8, so Hana = 28 - 8 = 20 strawberries.

28 - 8 = 20

Working backwards from the pair total and the known Mia gives Hana.

Answer: 20 strawberries

4 · Reviewdoes it hold up?

Check the full table: 14 + 8 + 6 + 20 = 48, matching the total, and Mia (8) is 2 more than Emma (6). Both conditions hold.

Another way: Subtract all three known/derived counts from the total at once: 48 - 14 - 8 - 6 = 20 for Hana -- same answer.

Standardsmin grade 2

2.MD.D.10 Draw and interpret picture graphs and bar graphs — Using the table's total as the sum of its rows to set up the missing values.
2.OA.A.1 Solve one- and two-step word problems using addition and subtraction within 100 — Finding Mia from '2 more than Emma' and subtracting to reach Hana.

💡Takeaway. This only needs the Grade 2 idea that a table's total is the sum of its rows -- then add and subtract!

Variant 12 hard

Mason and his friends counted how many strawberries each of them picked at a weekend farm and recorded the results in a table. If Mia picked $6$ more strawberries than Emma, how many strawberries did Hana pick?

Number of strawberries picked at the weekend farm

Name	Mason	Mia	Emma	Hana	Total
Strawberries	$9$		$12$		$50$

Your answer

Show solution

1 · Understandwhat's really being asked

A table lists strawberries picked: Mason 9, Emma 12, total 50, with Mia and Hana blank. Mia picked 6 more than Emma. I need how many Hana picked.

Givens

Mason = 9, Emma = 12 strawberries.
Total for all four = 50.
Mia picked 6 more strawberries than Emma.

Unknowns

How many strawberries Mia picked.
How many strawberries Hana picked.

Constraints

The total equals the sum of all four people's counts.

2 · Planchoose the strategy

#7 Identify Subproblems · also uses: #11 Work Backwards

Find Mia from the '6 more than Emma' clue, then use the fact that the total is the sum of the rows to work backwards to Hana. Two small subtraction/addition subproblems.

3 · Execute3 carry out the plan

1Find Mia

#7 Identify Subproblems 2.OA.A.1

Mia picked 6 more than Emma's 12: 12 + 6 = 18 strawberries.

12 + 6 = 18

'6 more' means add 6 to Emma's count.

2Find Mia and Hana together

#7 Identify Subproblems 2.MD.D.10

The four counts add to 50. Subtract Mason and Emma: 50 - 9 - 12 = 29, which is Mia plus Hana.

50 - 9 - 12 = 29

The total minus the two known rows leaves the other two rows combined.

3Find Hana

#11 Work Backwards 2.OA.A.1

Mia plus Hana is 29 and Mia is 18, so Hana = 29 - 18 = 11 strawberries.

29 - 18 = 11

Working backwards from the pair total and the known Mia gives Hana.

Answer: 11 strawberries

4 · Reviewdoes it hold up?

Check the full table: 9 + 18 + 12 + 11 = 50, matching the total, and Mia (18) is 6 more than Emma (12). Both conditions hold.

Another way: Subtract all three known/derived counts from the total at once: 50 - 9 - 18 - 12 = 11 for Hana -- same answer.

Standardsmin grade 2

2.MD.D.10 Draw and interpret picture graphs and bar graphs — Using the table's total as the sum of its rows to set up the missing values.
2.OA.A.1 Solve one- and two-step word problems using addition and subtraction within 100 — Finding Mia from '6 more than Emma' and subtracting to reach Hana.

💡Takeaway. This only needs the Grade 2 idea that a table's total is the sum of its rows -- then add and subtract!

Total equals the sum of the rows · 12 practice problems

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