Question

Brittany is baking cookies for her class. She needs 4 cup of sugar for every 3 cups of milk.

If Brittany increases the amount of milk from 3 cups to 8 cups, how many cups of sugar does she need for her cookies?
А. cup
B. 3 cup
С. 4 cups
D. 6 cups

Answer 1

Brittany would need approximately 10.67 cups of sugar for her cookies when she increases her milk usage to 8 cups, based on the original ratio of 4 cups of sugar to 3 cups of milk.

Step-by-step explanation:

Brittany is trying to determine how many cups of sugar she needs if she increases the amount of milk she uses to 8 cups. Originally, the recipe calls for 4 cups of sugar for every 3 cups of milk. To find the solution, we need to set up a proportion based on the original ratio.

Let x be the number of cups of sugar needed for 8 cups of milk. The proportion, based on the original amounts, is:

3 cups of milk / 4 cups of sugar = 8 cups of milk / x cups of sugar.

To solve for x, cross-multiply and divide:

(3)(x) = (4)(8)

x = (4)(8) / 3

x = 32 / 3

x = 10⅓ cups of sugar (or approximately 10.67 cups)

Therefore, Brittany would need approximately 10.67 cups of sugar for her cookies when using 8 cups of milk.