Read a ratio as equal parts and a difference tells you what one is worth
6.RP.A.36.EE.B.7
Generated variants — 12
The ratio of Jua's allowance to Eunwoo's is , and Eunwoo received won more than Jua. How much did Eunwoo receive?
Show solution
1 · Understandwhat's really being asked
Two allowances are in the ratio 7 to 9, and the second is 500 won more. We want the second one.
Givens
- The ratio is 7 to 9.
- The second allowance is 500 won more than the first.
Unknowns
- Eunwoo's allowance.
Constraints
- Neither amount is given directly.
2 · Planchoose the strategy
#10 Create a Physical Representation
Read the ratio as equal parts rather than as two numbers: then the difference between the two people is a whole number of parts, and one division says what a part is worth.
3 · Execute4 carry out the plan
1Read the ratio as parts
2Count the parts in the difference
3Find one part
4Give Eunwoo his parts
4 · Reviewdoes it hold up?
Jua has 1750 won and Eunwoo 2250: they differ by 500 won and stand in the ratio 7 to 9.
Standardsmin grade 6
6.RP.A.3Use ratio and rate reasoning to solve problems — Reading the ratio as equal parts and locating the difference.6.EE.B.7Solve one-step equations x+p=q and px=q — Solving for one part and scaling it back up.
The ratio of Jua's allowance to Eunwoo's is , and Eunwoo received won more than Jua. How much did Eunwoo receive?
Show solution
1 · Understandwhat's really being asked
Two allowances are in the ratio 8 to 9, and the second is 600 won more. We want the second one.
Givens
- The ratio is 8 to 9.
- The second allowance is 600 won more than the first.
Unknowns
- Eunwoo's allowance.
Constraints
- Neither amount is given directly.
2 · Planchoose the strategy
#10 Create a Physical Representation
Read the ratio as equal parts rather than as two numbers: then the difference between the two people is a whole number of parts, and one division says what a part is worth.
3 · Execute4 carry out the plan
1Read the ratio as parts
2Count the parts in the difference
3Find one part
4Give Eunwoo his parts
4 · Reviewdoes it hold up?
Jua has 4800 won and Eunwoo 5400: they differ by 600 won and stand in the ratio 8 to 9.
Standardsmin grade 6
6.RP.A.3Use ratio and rate reasoning to solve problems — Reading the ratio as equal parts and locating the difference.6.EE.B.7Solve one-step equations x+p=q and px=q — Solving for one part and scaling it back up.
The ratio of Jua's allowance to Eunwoo's is , and Eunwoo received won more than Jua. How much did Eunwoo receive?
Show solution
1 · Understandwhat's really being asked
Two allowances are in the ratio 3 to 5, and the second is 800 won more. We want the second one.
Givens
- The ratio is 3 to 5.
- The second allowance is 800 won more than the first.
Unknowns
- Eunwoo's allowance.
Constraints
- Neither amount is given directly.
2 · Planchoose the strategy
#10 Create a Physical Representation
Read the ratio as equal parts rather than as two numbers: then the difference between the two people is a whole number of parts, and one division says what a part is worth.
3 · Execute4 carry out the plan
1Read the ratio as parts
2Count the parts in the difference
3Find one part
4Give Eunwoo his parts
4 · Reviewdoes it hold up?
Jua has 1200 won and Eunwoo 2000: they differ by 800 won and stand in the ratio 3 to 5.
Standardsmin grade 6
6.RP.A.3Use ratio and rate reasoning to solve problems — Reading the ratio as equal parts and locating the difference.6.EE.B.7Solve one-step equations x+p=q and px=q — Solving for one part and scaling it back up.
The ratio of Jua's allowance to Eunwoo's is , and Eunwoo received won more than Jua. How much did Eunwoo receive?
Show solution
1 · Understandwhat's really being asked
Two allowances are in the ratio 5 to 8, and the second is 900 won more. We want the second one.
Givens
- The ratio is 5 to 8.
- The second allowance is 900 won more than the first.
Unknowns
- Eunwoo's allowance.
Constraints
- Neither amount is given directly.
2 · Planchoose the strategy
#10 Create a Physical Representation
Read the ratio as equal parts rather than as two numbers: then the difference between the two people is a whole number of parts, and one division says what a part is worth.
3 · Execute4 carry out the plan
1Read the ratio as parts
2Count the parts in the difference
3Find one part
4Give Eunwoo his parts
4 · Reviewdoes it hold up?
Jua has 1500 won and Eunwoo 2400: they differ by 900 won and stand in the ratio 5 to 8.
Standardsmin grade 6
6.RP.A.3Use ratio and rate reasoning to solve problems — Reading the ratio as equal parts and locating the difference.6.EE.B.7Solve one-step equations x+p=q and px=q — Solving for one part and scaling it back up.
The ratio of Jua's allowance to Eunwoo's is , and Eunwoo received won more than Jua. How much did Eunwoo receive?
Show solution
1 · Understandwhat's really being asked
Two allowances are in the ratio 9 to 13, and the second is 1000 won more. We want the second one.
Givens
- The ratio is 9 to 13.
- The second allowance is 1000 won more than the first.
Unknowns
- Eunwoo's allowance.
Constraints
- Neither amount is given directly.
2 · Planchoose the strategy
#10 Create a Physical Representation
Read the ratio as equal parts rather than as two numbers: then the difference between the two people is a whole number of parts, and one division says what a part is worth.
3 · Execute4 carry out the plan
1Read the ratio as parts
2Count the parts in the difference
3Find one part
4Give Eunwoo his parts
4 · Reviewdoes it hold up?
Jua has 2250 won and Eunwoo 3250: they differ by 1000 won and stand in the ratio 9 to 13.
Standardsmin grade 6
6.RP.A.3Use ratio and rate reasoning to solve problems — Reading the ratio as equal parts and locating the difference.6.EE.B.7Solve one-step equations x+p=q and px=q — Solving for one part and scaling it back up.
The ratio of Jua's allowance to Eunwoo's is , and Eunwoo received won more than Jua. How much did Eunwoo receive?
Show solution
1 · Understandwhat's really being asked
Two allowances are in the ratio 4 to 7, and the second is 1200 won more. We want the second one.
Givens
- The ratio is 4 to 7.
- The second allowance is 1200 won more than the first.
Unknowns
- Eunwoo's allowance.
Constraints
- Neither amount is given directly.
2 · Planchoose the strategy
#10 Create a Physical Representation
Read the ratio as equal parts rather than as two numbers: then the difference between the two people is a whole number of parts, and one division says what a part is worth.
3 · Execute4 carry out the plan
1Read the ratio as parts
2Count the parts in the difference
3Find one part
4Give Eunwoo his parts
4 · Reviewdoes it hold up?
Jua has 1600 won and Eunwoo 2800: they differ by 1200 won and stand in the ratio 4 to 7.
Standardsmin grade 6
6.RP.A.3Use ratio and rate reasoning to solve problems — Reading the ratio as equal parts and locating the difference.6.EE.B.7Solve one-step equations x+p=q and px=q — Solving for one part and scaling it back up.
The ratio of Jua's allowance to Eunwoo's is , and Eunwoo received won more than Jua. How much did Eunwoo receive?
Show solution
1 · Understandwhat's really being asked
Two allowances are in the ratio 2 to 3, and the second is 1500 won more. We want the second one.
Givens
- The ratio is 2 to 3.
- The second allowance is 1500 won more than the first.
Unknowns
- Eunwoo's allowance.
Constraints
- Neither amount is given directly.
2 · Planchoose the strategy
#10 Create a Physical Representation
Read the ratio as equal parts rather than as two numbers: then the difference between the two people is a whole number of parts, and one division says what a part is worth.
3 · Execute4 carry out the plan
1Read the ratio as parts
2Count the parts in the difference
3Find one part
4Give Eunwoo his parts
4 · Reviewdoes it hold up?
Jua has 3000 won and Eunwoo 4500: they differ by 1500 won and stand in the ratio 2 to 3.
Standardsmin grade 6
6.RP.A.3Use ratio and rate reasoning to solve problems — Reading the ratio as equal parts and locating the difference.6.EE.B.7Solve one-step equations x+p=q and px=q — Solving for one part and scaling it back up.
The ratio of Jua's allowance to Eunwoo's is , and Eunwoo received won more than Jua. How much did Eunwoo receive?
Show solution
1 · Understandwhat's really being asked
Two allowances are in the ratio 5 to 9, and the second is 1600 won more. We want the second one.
Givens
- The ratio is 5 to 9.
- The second allowance is 1600 won more than the first.
Unknowns
- Eunwoo's allowance.
Constraints
- Neither amount is given directly.
2 · Planchoose the strategy
#10 Create a Physical Representation
Read the ratio as equal parts rather than as two numbers: then the difference between the two people is a whole number of parts, and one division says what a part is worth.
3 · Execute4 carry out the plan
1Read the ratio as parts
2Count the parts in the difference
3Find one part
4Give Eunwoo his parts
4 · Reviewdoes it hold up?
Jua has 2000 won and Eunwoo 3600: they differ by 1600 won and stand in the ratio 5 to 9.
Standardsmin grade 6
6.RP.A.3Use ratio and rate reasoning to solve problems — Reading the ratio as equal parts and locating the difference.6.EE.B.7Solve one-step equations x+p=q and px=q — Solving for one part and scaling it back up.
The ratio of Jua's allowance to Eunwoo's is , and Eunwoo received won more than Jua. How much did Eunwoo receive?
Show solution
1 · Understandwhat's really being asked
Two allowances are in the ratio 6 to 11, and the second is 2000 won more. We want the second one.
Givens
- The ratio is 6 to 11.
- The second allowance is 2000 won more than the first.
Unknowns
- Eunwoo's allowance.
Constraints
- Neither amount is given directly.
2 · Planchoose the strategy
#10 Create a Physical Representation
Read the ratio as equal parts rather than as two numbers: then the difference between the two people is a whole number of parts, and one division says what a part is worth.
3 · Execute4 carry out the plan
1Read the ratio as parts
2Count the parts in the difference
3Find one part
4Give Eunwoo his parts
4 · Reviewdoes it hold up?
Jua has 2400 won and Eunwoo 4400: they differ by 2000 won and stand in the ratio 6 to 11.
Standardsmin grade 6
6.RP.A.3Use ratio and rate reasoning to solve problems — Reading the ratio as equal parts and locating the difference.6.EE.B.7Solve one-step equations x+p=q and px=q — Solving for one part and scaling it back up.
The ratio of Jua's allowance to Eunwoo's is , and Eunwoo received won more than Jua. How much did Eunwoo receive?
Show solution
1 · Understandwhat's really being asked
Two allowances are in the ratio 3 to 7, and the second is 2400 won more. We want the second one.
Givens
- The ratio is 3 to 7.
- The second allowance is 2400 won more than the first.
Unknowns
- Eunwoo's allowance.
Constraints
- Neither amount is given directly.
2 · Planchoose the strategy
#10 Create a Physical Representation
Read the ratio as equal parts rather than as two numbers: then the difference between the two people is a whole number of parts, and one division says what a part is worth.
3 · Execute4 carry out the plan
1Read the ratio as parts
2Count the parts in the difference
3Find one part
4Give Eunwoo his parts
4 · Reviewdoes it hold up?
Jua has 1800 won and Eunwoo 4200: they differ by 2400 won and stand in the ratio 3 to 7.
Standardsmin grade 6
6.RP.A.3Use ratio and rate reasoning to solve problems — Reading the ratio as equal parts and locating the difference.6.EE.B.7Solve one-step equations x+p=q and px=q — Solving for one part and scaling it back up.
The ratio of Jua's allowance to Eunwoo's is , and Eunwoo received won more than Jua. How much did Eunwoo receive?
Show solution
1 · Understandwhat's really being asked
Two allowances are in the ratio 7 to 12, and the second is 2500 won more. We want the second one.
Givens
- The ratio is 7 to 12.
- The second allowance is 2500 won more than the first.
Unknowns
- Eunwoo's allowance.
Constraints
- Neither amount is given directly.
2 · Planchoose the strategy
#10 Create a Physical Representation
Read the ratio as equal parts rather than as two numbers: then the difference between the two people is a whole number of parts, and one division says what a part is worth.
3 · Execute4 carry out the plan
1Read the ratio as parts
2Count the parts in the difference
3Find one part
4Give Eunwoo his parts
4 · Reviewdoes it hold up?
Jua has 3500 won and Eunwoo 6000: they differ by 2500 won and stand in the ratio 7 to 12.
Standardsmin grade 6
6.RP.A.3Use ratio and rate reasoning to solve problems — Reading the ratio as equal parts and locating the difference.6.EE.B.7Solve one-step equations x+p=q and px=q — Solving for one part and scaling it back up.
The ratio of Jua's allowance to Eunwoo's is , and Eunwoo received won more than Jua. How much did Eunwoo receive?
Show solution
1 · Understandwhat's really being asked
Two allowances are in the ratio 4 to 5, and the second is 3000 won more. We want the second one.
Givens
- The ratio is 4 to 5.
- The second allowance is 3000 won more than the first.
Unknowns
- Eunwoo's allowance.
Constraints
- Neither amount is given directly.
2 · Planchoose the strategy
#10 Create a Physical Representation
Read the ratio as equal parts rather than as two numbers: then the difference between the two people is a whole number of parts, and one division says what a part is worth.
3 · Execute4 carry out the plan
1Read the ratio as parts
2Count the parts in the difference
3Find one part
4Give Eunwoo his parts
4 · Reviewdoes it hold up?
Jua has 12000 won and Eunwoo 15000: they differ by 3000 won and stand in the ratio 4 to 5.
Standardsmin grade 6
6.RP.A.3Use ratio and rate reasoning to solve problems — Reading the ratio as equal parts and locating the difference.6.EE.B.7Solve one-step equations x+p=q and px=q — Solving for one part and scaling it back up.
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