A punch recipe says to mix 4 cups pineapple juice, 8 cups orange juice, and 12 cups seltzer in order to make 18 servings of punch.

a. How many cups of each ingredient do you need to make 108 cups of punch?

b. how many servings can be made from 108 cups of punch?

c. For every cup of seltzer you use, how much orange juice do you use?

Question

Mathematics

Grayson

10 September, 00:44

A punch recipe says to mix 4 cups pineapple juice, 8 cups orange juice, and 12 cups seltzer in order to make 18 servings of punch.

a. How many cups of each ingredient do you need to make 108 cups of punch?

b. how many servings can be made from 108 cups of punch?

c. For every cup of seltzer you use, how much orange juice do you use?

+2

Answers (1)

Know the Answer?

Crystal Black · Answer 1

A. We know the amounts needed for 18 serving, so we can use proportions to scale this up to 108 cups. It is easy once you realize that 4 cups + 8 cups + 12 cups = 18 servings, and 18 * 6 = 108, therefore you will need 6 times the amount of ingredients equally proportionated to each of the juices/seltezer. Therefore, we would need 24, 48, 72 cups of pineapple juice, orange juice, and seltzer.

b. Adding 4, 8, and 12 together, we get 24. 108 cups/24 cups of ingredients = 4.5 servings.

c. Using ratios, we see that we use 8 cups of orange juice for every 12 cups of seltzer. Dividing each side by 12, we get that we use 2/3 cups of orange juice for each cup of seltzer.