Worked example
Paint uses 2 cups blue for 3 cups white. With 8 cups blue, how much white?
Answer & why
Answer: 12
8 is four times 2, so white must also be four times 3: 12 cups.
Grade 6 · Math
Scale a recipe ratio
Keep a ratio equivalent while scaling both quantities.
8 generated examples + worked example
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8 reproducible examples from this math generator. Choose New examples for another set.
Question 1
A paint recipe uses 5 cups of blue for every 3 cups of white. Using 25 cups of blue at the same ratio, how many cups of white are needed?
- 24
- 27
- 12
- 15
A hint
Scale both parts of a ratio by the same factor.
Answer & why
Answer: 15
The blue amount is multiplied by 5; multiply white by the same factor: 3 × 5 = 15.
Question 2
A paint recipe uses 8 cups of blue for every 7 cups of white. Using 16 cups of blue at the same ratio, how many cups of white are needed?
- 35
- 42
- 7
- 14
A hint
Scale both parts of a ratio by the same factor.
Answer & why
Answer: 14
The blue amount is multiplied by 2; multiply white by the same factor: 7 × 2 = 14.
Question 3
A paint recipe uses 4 cups of blue for every 7 cups of white. Using 12 cups of blue at the same ratio, how many cups of white are needed?
- 7
- 35
- 21
- 28
A hint
Scale both parts of a ratio by the same factor.
Answer & why
Answer: 21
The blue amount is multiplied by 3; multiply white by the same factor: 7 × 3 = 21.
Question 4
A paint recipe uses 3 cups of blue for every 5 cups of white. Using 15 cups of blue at the same ratio, how many cups of white are needed?
- 25
- 30
- 40
- 15
A hint
Scale both parts of a ratio by the same factor.
Answer & why
Answer: 25
The blue amount is multiplied by 5; multiply white by the same factor: 5 × 5 = 25.
Question 5
A paint recipe uses 5 cups of blue for every 7 cups of white. Using 10 cups of blue at the same ratio, how many cups of white are needed?
- 7
- 35
- 14
- 0
A hint
Scale both parts of a ratio by the same factor.
Answer & why
Answer: 14
The blue amount is multiplied by 2; multiply white by the same factor: 7 × 2 = 14.
Question 6
A paint recipe uses 4 cups of blue for every 5 cups of white. Using 16 cups of blue at the same ratio, how many cups of white are needed?
- 15
- 25
- 20
- 30
A hint
Scale both parts of a ratio by the same factor.
Answer & why
Answer: 20
The blue amount is multiplied by 4; multiply white by the same factor: 5 × 4 = 20.
Question 7
A paint recipe uses 6 cups of blue for every 2 cups of white. Using 36 cups of blue at the same ratio, how many cups of white are needed?
- 20
- 10
- 14
- 12
A hint
Scale both parts of a ratio by the same factor.
Answer & why
Answer: 12
The blue amount is multiplied by 6; multiply white by the same factor: 2 × 6 = 12.
Question 8
A paint recipe uses 5 cups of blue for every 8 cups of white. Using 20 cups of blue at the same ratio, how many cups of white are needed?
- 64
- 32
- 56
- 24
A hint
Scale both parts of a ratio by the same factor.
Answer & why
Answer: 32
The blue amount is multiplied by 4; multiply white by the same factor: 8 × 4 = 32.