Data & Graphs

Problem

Total equals the sum of the rows

Mason, Mia, Emma, and Hana each picked strawberries at a weekend farm, recorded in a table. Mason picked 9, Emma picked 7, and the four people's total is 35. Mia picked 4 more strawberries than Emma. Figure out how many strawberries Hana picked.
Measurement & dataOperations
Your answer
strawberries
How to solve
Strategy Identify Subproblems — 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.
1STEP 1

Find how many Mia picked

Mia picked 4 more than Emma's 7, so 11 strawberries.

7 + 4 = 11
2STEP 2

Find Mia and Hana together

Total 35 minus Mason's 9 and Emma's 7 leaves Mia plus Hana: 19.

35 − 9 − 7 = 19
3STEP 3

Find how many Hana picked

19 minus Mia's 11 leaves Hana with 8.

19 − 11 = 8
Answer
8 strawberries
35 − 9 − 7 − 11 = 8
Check — 9 + 11 + 7 + 8 = 35 matches the total, and Mia (11) is 4 more than Emma (7).
Takeaway

A table's total is the sum of its rows. Subtract what you know and the unknown rows' sum remains — work backwards to find each one.

  • Mia = Emma(7) + 4 = 11
  • Mia+Hana = 35 − 9 − 7 = 19
  • Hana = 19 − 11 = 8
Where next?
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▶ Practice — 12 problems