Data & Graphs

Problem

Sum all data values read from a line graph

A line graph of soft pretzels sold over 5 days shows the 5th = 32, 6th = 16, 7th = 28, 8th = 52, 9th = 36 (each small square = 4 pretzels). I must find the total pretzels sold across all five days.
Soft Pretzels Sold (pretzels) 0 20 40 5th 6th 7th 8th 9th (date)
Measurement & data
Your answer
pretzels
How to solve
Strategy Draw a Diagram — I read each day's value off the graph using the square size, then add the five numbers. Reading the points is the diagram step; the addition is a straightforward subproblem.
1STEP 1

Read each day's value

Using each square = 4 pretzels: 5th = 32, 6th = 16, 7th = 28, 8th = 52, 9th = 36.

32, 16, 28, 52, 36
2STEP 2

Add them in easy pairs

Pair to make tens: 32 + 28 = 60, 16 + 36 = 52, then 60 + 52 + 52 = 164.

(32+28) + (16+36) + 52 = 60 + 52 + 52 = 164
Answer
164 pretzels
32 + 16 + 28 + 52 + 36 = 164
Straight addition 32 + 16 + 28 + 52 + 36 = 164 matches. The total should land in the hundreds since each day is in the tens, and 164 fits; it is also larger than the biggest single day (52), as a sum of positives must be.
Takeaway

Read each day with the right square size, then add - pairing numbers to make tens makes it easy!

  • Read each day's value
  • Add them in easy pairs
Where next?
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