Final answer:
To make 14 cookies, using the ratio from the original recipe of 1 1/4 cups of sugar for 20 cookies, you will need 0.875 cups of sugar.
Step-by-step explanation:
To determine how many cups of sugar are needed to make 14 cookies based on the fact that 1 1/4 cups of sugar are needed for 20 cookies, we can set up a ratio. The ratio of sugar to cookies (sugar/cookies) must remain constant, so we have the equation (1 1/4 cups)/(20 cookies) = (x cups)/(14 cookies), where x represents the unknown amount of sugar needed for 14 cookies.
First, we convert 1 1/4 cups to decimal for easier calculation, which equals 1.25 cups. Our ratio equation becomes (1.25 cups)/(20 cookies) = (x cups)/(14 cookies). To solve for x, we cross-multiply and divide:
- 20x = 1.25 × 14
- 20x = 17.5
- x = 17.5 / 20
- x = 0.875 cups
Therefore, you will need 0.875 cups of sugar to make 14 cookies.