Question

Wendell is making punch for a party. the recipe he is using says to mix 4 cups pineapple juice, 8 cups of Orange juice, and 12 cups of lemon lime soda in order to make 18 servings of punch. how many cups of punch does the recipe make. if Wendell makes 108 cups of punch, how many of each ingredient will he use. how many servings can be made from 108 cups of punch.

Answer 1

Answer: 24 cups of  orange juice, 48 cups of range juice and 72 cup of lemon juice.

Step-by-step explanation:

Since, Here 4 cups pineapple juice, 8 cups of Orange juice, and 12 cups of lemon lime soda are used in order to make 18 servings of punch.

Therefore, total number of cups in order to make 18 servings of punch = 24

In which the ratio of cups of pineapple juice, cups of Orange juice and cups of lemon lime soda is,

4 : 8 : 12 = 1 : 2 : 3

Now, If 18 servings of punch = 24 cups

⇒ 1 serving of punch = 24/ 18 cups

⇒ 108 serving of punch = $\frac{24}{18} \times 108$ = 144 cups

That is, 108 cups of punch require 144 cups, in which the ratio of cups of pineapple juice, cups of Orange juice and cups of lemon lime soda is 1 : 2 : 3.

Therefore, cups of pineapple juice in 108 punch = $\frac{1}{6} \times 144 = 24$

Cups of Orange juice in 108 punch = $\frac{2}{6} \times 144 = 48$

And, Cups of lemon lime soda in 108 punch = $\frac{3}{6} \times 144 = 72$