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Suppose the ratio of chocolate cupcakes to vanilla cupcakes baked was the same yesterday. If 198 cupcakes were baked yesterday, how many were chocolate, and how many were vanilla?

A. Chocolate: 132, Vanilla: 66
B. Chocolate: 154, Vanilla: 44
C. Chocolate: 176, Vanilla: 22
D. Chocolate: 198, Vanilla: 0

1 Answer

3 votes

Final answer:

The correct answer to the question about the number of chocolate and vanilla cupcakes baked is option A: 132 chocolate and 66 vanillas, summing up to 198 and maintaining the same ratio as the options given.

Step-by-step explanation:

The question requires us to find out how many chocolate and vanilla cupcakes were baked given that the ratio of chocolate to vanilla cupcakes was the same yesterday and a total of 198 cupcakes were baked. Since the ratio remains the same and no specific ratio is given, we can compare the total number of cupcakes to the options provided and see which pair of numbers sums up to 198 and also shows a consistent ratio. This is a mathematical concept similar to the example of creating recipes where ingredients need to be in a certain ratio to maintain the desired outcome.

By looking at option A, we have 132 chocolate and 66 vanilla cupcakes, which sums up to 198 and has a ratio of 2:1. Option B, C, and D do not satisfy these conditions because they don't add up to 198 and/or don't reflect the same ratio. Therefore, the correct answer is option A: Chocolate: 132, Vanilla: 66.

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