Question

Susan is making a salad. For every 3 cups of lettuce she puts in it, she adds 2 cups of carrots. If Sarah wants to use 15 cups of lettuce in the salad, how many cups of carrots will she need to use?

A) 10 cups
B) 7.5 cups
C) 12 cups
D) 5 cups

Answer 1

Susan needs 10 cups of carrots for her salad when using 15 cups of lettuce, maintaining the ratio of 3 cups of lettuce to 2 cups of carrots.

Step-by-step explanation:

To determine the number of cups of carrots Susan will need for her salad, we must use the ratio of lettuce to carrots, which is 3 cups of lettuce to 2 cups of carrots. Susan wants to use 15 cups of lettuce, so we can set up a proportion to figure out how many cups of carrots are needed:

3 cups lettuce : 2 cups carrots = 15 cups lettuce : x cups carrots

To solve the proportion, we cross-multiply and divide:

(3 * x) = (2 * 15)

3x = 30

x = 30 / 3

x = 10 cups

So, Susan will need 10 cups of carrots to keep the same ratio if she uses 15 cups of lettuce.