A baker is using a cookie recipe that calls for 2 ¼ 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 6 ¼ cups of flour to make 90 cookies using the same recipe.

The amount of flour required for a particular number of cookies can be determined by setting up a proportion. Since 2 ¼ cups of flour yields 36 cookies, the proportion to find the amount of flour for 90 cookies would be (2 ¼ / 36) = (x / 90), where x is the unknown amount of flour needed. Solving this proportion gives x = 90 * (2 ¼ / 36) = 6 ¼ cups.

A (5 ¼ cups) YOUR ANSWER

This amount of flour would not be sufficient to make 90 cookies based on the provided recipe. The proportion shows that 2 ¼ cups of flour yield 36 cookies. Therefore, 5 ¼ cups would yield fewer than 90 cookies.

C (4 ¼ cups) YOUR ANSWER

Similar to option A, 4 ¼ cups of flour would not be sufficient to make 90 cookies. Using the recipe's proportions, it's clear that more flour is required for 90 cookies.

D (10 ¼ cups) YOUR ANSWER

This amount of flour would exceed what's necessary for making 90 cookies. According to the recipe's proportions, only 6 ¼ cups of flour are needed. Therefore, 10 ¼ cups would yield more than 90 cookies.

Conclusion

In cooking and baking, proportions are critical for scaling recipes up or down. In this case, the baker needs 6 ¼ cups of flour to make 90 cookies according to the recipe. All other options either provide insufficient or excessive amounts of flour, which would either yield fewer cookies than desired or waste ingredients by producing more cookies than needed.

A baker is using a cookie recipe that calls for 2 ¼ 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 6 ¼ cups of flour to make 90 cookies using the same recipe.

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