Problem-Solving and Data AnalysisHardProportion from a recipe
Problem-Solving and Data Analysis practice question
A recipe uses 2 cups of flour for every 3 eggs. How many cups of flour are needed for 12 eggs?
Answer: 8
Set up the proportion flour/eggs = 2/3 = x/12. Since 12 eggs is 4 times 3 eggs, the flour scales by 4 too: 2 × 4 = 8 cups.
Common wrong answers
- If you answered 4
- 4 is the number of times 3 eggs fits into 12 eggs. That's the scale factor, which then multiplies the 2 cups of flour: 8.
- If you answered 18
- 18 is 12 × 3/2 — the ratio was inverted, scaling eggs by the flour ratio. Flour is the SMALLER quantity (2 per 3 eggs), so for 12 eggs you need fewer than 12 cups.
- If you answered 36
- 36 is 12 × 3, multiplying the eggs by the egg number in the ratio. Set up 2/3 = x/12 and solve for x instead.
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