Question

After the camp, Cece went home and made lemonade for her family. She uses the ratio of one cup of concentrate to three cups of cold water. She needs 160 ounces of juice.

How many cups of concentrate will she need?
a. 5
b. 10
c. 15
d. 20
How many cups of water will she need?
a. 15
b. 30
c. 45
d. 60

Answer 1

Cece will need 54 cups of concentrate and 162 cups of water.

Step-by-step explanation:

To find the number of cups of concentrate Cece will need, we can use a proportion. Since the ratio is 1 cup of concentrate to 3 cups of water, we can set up the proportion as follows: 1/3 = x/160. Cross multiplying, we get 3x = 160. Dividing by 3, we find that x = 53.333. Since we can't have a fraction of a cup, Cece will need 54 cups of concentrate.

To find the number of cups of water Cece will need, we can use the same proportion. Since the ratio is 1 cup of concentrate to 3 cups of water, we can set up the proportion as follows: 1/3 = 54/160. Cross multiplying, we get 3(54) = 160x. Dividing by 160, we find that x = 162. Therefore, Cece will need 162 cups of water.