A recipe calls for 2 1/2 cups of flour to yield 36 cookies. How much flour will be needed to make 90 cookies using the same recipe?

Rationale

6 1/2 cups of flour will be needed to make 90 cookies using the same recipe.

The problem can be solved by setting up a proportion. Given that 2 1/2 cups of flour yield 36 cookies, we can calculate the amount of flour needed for 90 cookies by multiplying 2 1/2 by 90/36. This yields 6 1/2 cups.

A (6 1/2 cups) CORRECT

This is the correct answer. By setting up a proportion with the known relationship (2 1/2 cups for 36 cookies), we can calculate the amount of flour required for 90 cookies. The calculation 2 1/2 * (90/36) equals 6 1/2 cups.

B (10 1/2 cups) YOUR ANSWER

This answer is incorrect because it is more than the amount calculated from the proportion. It seems to be derived from incorrectly multiplying the given flour amount (2 1/2 cups) by 4.

C (5 1/2 cups) YOUR ANSWER

This answer is incorrect because it is less than the calculated amount from the proportion. It seems to be derived from incorrectly multiplying the given flour amount (2 1/2 cups) by 2.

D (4 1/2 cups) YOUR ANSWER

This answer is incorrect because it is less than the calculated amount from the proportion. It seems to be derived from incorrectly multiplying the given flour amount (2 1/2 cups) by 1.8.

Conclusion

The amount of flour required for a recipe scales proportionally with the number of cookies made. Given that 2 1/2 cups of flour yield 36 cookies, the amount of flour needed for 90 cookies can be calculated by setting up a proportion: 2 1/2 * (90/36) which equals 6 1/2 cups. The other options represent either underestimations or overestimations of the correct calculated amount.

A recipe calls for 2 1/2 cups of flour to yield 36 cookies. How much flour will be needed to make 90 cookies using the same recipe?

6 1/2 cups of flour will be needed to make 90 cookies using the same recipe.

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