Final answer:
To calculate the sugar needed for 16 cookies when 1 1/4 cups is needed for 20 cookies, you divide the total cups by the number of cookies to find the amount per cookie and then multiply by 16, resulting in 1 cup of sugar needed.
Step-by-step explanation:
To determine how much sugar is needed for 16 cookies when 1 1/4 cups is needed for 20 cookies, we first find the sugar per cookie, then multiply by the desired number of cookies. First, we convert 1 1/4 cups to decimal for ease of calculation (1.25 cups). We then find the amount of sugar required per cookie by dividing the total amount of sugar by the number of cookies:
1.25 cups ÷ 20 cookies = 0.0625 cups per cookie
Now, to find out the amount needed for 16 cookies, we multiply the sugar per cookie by 16:
0.0625 cups per cookie × 16 cookies = 1 cup
Therefore, to make 16 cookies, 1 cup of sugar will be required.