Wendell is making punch for a party. the recipe he is using says to mix 4 cups pineapple juice, 8 cups orange juice, and 12 cups lemon-lime soda in order to make 18 servings of punch.

Question

Wendell is making punch for a party. the recipe he is using says to mix 4 cups pineapple juice, 8 cups orange juice, and 12 cups lemon-lime soda in order to make 18 servings of punch.

a. How many cups of punch does the recipe make?
b. if Wendell makes 108 cups of punch, how many cups of each ingredient will he use?
c. How many servings can be made from 1008 cups of punch?

Answer 1

a. Add

b. Divide the sum into 108
c. Divide 1008 by 108

Answer 2

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

Answer 3

a. To find out how many cups of punch the recipe makes, we need to add up the quantities of all the ingredients used. The recipe calls for 4 cups of pineapple juice, 8 cups of orange juice, and 12 cups of lemon-lime soda. So, the total amount of punch is 4 + 8 + 12 = 24 cups.

b. If Wendell wants to make 108 cups of punch and we know that the original recipe makes 24 cups of punch, we can set up a proportion to find out how many cups of each ingredient he will use. Let's assume he uses x cups of pineapple juice, y cups of orange juice, and z cups of lemon-lime soda.

Using the proportions:
x/4 = y/8 = z/12 = 108/24

If we simplify each ratio, we get:
x/4 = y/8 = z/12 = 9/2

To find the values for x, y, and z, we can cross multiply:
x = (9/2) * 4 = 18 cups of pineapple juice
y = (9/2) * 8 = 36 cups of orange juice
z = (9/2) * 12 = 54 cups of lemon-lime soda

Therefore, Wendell will use 18 cups of pineapple juice, 36 cups of orange juice, and 54 cups of lemon-lime soda to make 108 cups of punch.

c. To determine how many servings can be made from 1008 cups of punch, we need to divide the total quantity of punch by the amount of punch made per serving.

From part a, we know that the recipe yields 24 cups of punch for 18 servings. So, the ratio of punch to servings is 24/18 = 4/3.

To find out how many servings can be made from 1008 cups of punch, we can set up a proportion:
4/3 = 1008/s

Cross-multiplying gives:
4s = 3 * 1008
4s = 3024

Divide both sides of the equation by 4:
s = 756

Therefore, 1008 cups of punch can make approximately 756 servings.

Wendell is making punch for a party. the recipe he is using says to mix 4 cups pineapple juice, 8 cups orange juice, and 12 cups lemon-lime soda in order to make 18 servings of punch.

a. Add

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

A. 24

35

1 gallon

a. To find out how many cups of punch the recipe makes, we need to add up the quantities of all the ingredients used. The recipe calls for 4 cups of pineapple juice, 8 cups of orange juice, and 12 cups of lemon-lime soda. So, the total amount of punch is 4 + 8 + 12 = 24 cups.