Patterns & Reasoning

Problem

Solve graph values step by step from clues

A graph shows how many students were born in each season. Spring has 6 students, summer has 2, and autumn has 5, and the number born in winter is 2 times the number born in summer. Find the total number of students surveyed.
Number of students by season of birth 1 2 3 4 5 6 Students Season Spring Summer Autumn Winter
Measurement & dataOperations
Your answer
students
How to solve
Strategy Identify Subproblems — Winter's count comes from the clue 'winter is 2 times summer,' not the graph. Once winter is found, add all four seasons for the total.
1STEP 1

Find how many were born in winter

Winter is 2 times summer's 2 students, so 2 × 2 = 4 students were born in winter.

2 × 2 = 4
2STEP 2

Add all four seasons for the total

Adding spring 6, summer 2, autumn 5, and winter 4 gives 17 students.

6 + 2 + 5 + 4 = 17
Answer
17 students
6 + 2 + 5 + 4 = 17
Check — winter (4) is 2 times summer (2), and 6 + 2 + 5 + 4 = 17 matches the total surveyed.
Takeaway

Apply clues one at a time to fill in a blank column. Once the multiple clue fills in winter, add everything for the total.

  • Winter = summer(2) × 2 = 4
  • Total = 6 + 2 + 5 + 4 = 17
Where next?
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▶ Practice — 10 problems