Data & Graphs

Depth · one concept from first principles · step 2 of 4

Combine two graphs to find totals

Mr. Park's class surveyed the number of each snack they bought at the school store and the price of one of each snack. The results are shown in the two bar graphs below. Find how much money the class spent buying bread.

Number of snacks bought (unit: items)

Snack Crackers Juice Bread Ice cream
Count 1212 1414 1616 1010

Price of one snack (unit: dollars)

Snack Crackers Juice Bread Ice cream
Price $1.00\$1.00 $0.80\$0.80 $0.70\$0.70 $1.20\$1.20

The data are shown as two bar graphs. The first (horizontal) bar graph shows how many of each snack were bought; the second (vertical) bar graph shows the price of one of each snack in dollars.

Number of Snacks Bought 0 10 20 Count (items) Crackers Juice Bread Ice cream Price of One Snack $0 $0.50 $1.00 Crackers Juice Bread Ice cream
Measurement & dataOperations
Your answer
dollars
How to solve
Strategy Analyze the Units — The two graphs supply different units - items and dollars-per-item - and linking the right bread values multiplies to dollars. Checking units (items times dollars/item = dollars) confirms the setup, and reading the matching bread bars is the key subproblem.
1STEP 1

Read bread's count

From the 'number of snacks bought' graph, bread was bought 16 times.

bread count = 16
2STEP 2

Read bread's unit price

From the 'price of one snack' graph, one bread costs $0.70.

bread price = $0.70
3STEP 3

Check the units and multiply

Total money = number of breads times price of one bread. Units: 16 items times $0.70 per item gives dollars. Compute 16 times 0.70.

16 × $0.70 = $11.20
Answer
11.20 dollars
16 × $0.70 = $11.20
16 breads at about $0.70 each should land close to 16 times 0.70 = 11.20; estimating with 16 times 0.75 = 12 confirms 11.20 is in the right range, in dollars.
Takeaway

Pull bread's number from one graph and bread's price from the other, then multiply count times price - linking two graphs is just Grade 4 cost = number times price!

  • Read bread's count
  • Read bread's unit price
  • Check the units and multiply
Where next?
Another one like thissuggested

A parent dashboard for the family lives at sensimlab.com.

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