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 12 servings of punch. How many cups of pineapple juice will Mrs. Malone need if she plans on making 36 servings of punch?
My answer: 12 cups
Agree.
I did 36 * 4 = 144
Then I did 144 / 12 = 12
We don’t need to know the orange juice and the lemon-lime soda
To find the amount of pineapple juice needed for 36 servings of punch, we need to determine the relationship between the number of servings and the amount of pineapple juice.
According to the recipe, 12 servings of punch require 4 cups of pineapple juice. So, we can calculate the ratio of pineapple juice to servings:
Ratio of pineapple juice to servings = 4 cups / 12 servings
To find the amount of pineapple juice needed for 36 servings, we can set up a proportion:
Ratio of pineapple juice to servings = Amount of pineapple juice needed for 36 servings / 36 servings
Cross-multiplying the proportion, we get:
(4 cups / 12 servings) = (Amount of pineapple juice needed for 36 servings / 36 servings)
Simplifying the equation:
4 cups * 36 servings = 12 servings * (Amount of pineapple juice needed for 36 servings)
144 cups = 12 servings * (Amount of pineapple juice needed for 36 servings)
Dividing both sides by 12 servings:
12 cups = Amount of pineapple juice needed for 36 servings
Therefore, Mrs. Malone will need 12 cups of pineapple juice to make 36 servings of punch.