A baker is using a cookie recipe that calls for 2 1/4 cups of flour to yield 36 cookies. How much flour will the baker need to make 90 cookies using the same recipe?

Rationale

The baker will need 5 5/8 cups of flour to make 90 cookies using the same recipe.

To determine the amount of flour required, we can set up a proportion using the given recipe. According to the recipe, 2 1/4 cups of flour yields 36 cookies, so we can solve for the amount of flour that would yield 90 cookies by cross-multiplying and dividing.

A (6 1/4 cups) YOUR ANSWER

This is incorrect. If we set up the proportion (2 1/4 cups / 36 cookies = x cups / 90 cookies) and solve for x, we don't get 6 1/4 cups. The ratio of flour to cookies is not maintained in this option.

B (4 3/4 cups) YOUR ANSWER

This is incorrect. Using the same proportion, we find that 4 3/4 cups of flour would yield less than 90 cookies. The amount of flour required for 90 cookies should be more than the amount required for 36 cookies, not less.

C (5 5/8 cups) CORRECT

This is the correct choice. When we set up the proportion (2 1/4 cups / 36 cookies = x cups / 90 cookies) and solve for x, we find that x equals 5 5/8 cups. This maintains the ratio of flour to cookies as specified in the recipe.

D (10 1/8 cups) YOUR ANSWER

This is incorrect. Although 90 cookies are more than twice the yield of the original recipe, the amount of flour required is not more than twice the original amount. This option does not maintain the correct ratio of flour to cookies.

Conclusion

The amount of flour required to make a certain number of cookies can be found by setting up a proportion using the original recipe and then solving for the unknown quantity. In this case, the baker would need 5 5/8 cups of flour to make 90 cookies, as this amount maintains the original ratio of 2 1/4 cups of flour to 36 cookies. The other options do not maintain this ratio and are therefore incorrect.

A baker is using a cookie recipe that calls for 2 1/4 cups of flour to yield 36 cookies. How much flour will the baker need to make 90 cookies using the same recipe?

The baker will need 5 5/8 cups of flour to make 90 cookies using the same recipe.

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