To make fruit punch, Edie mixes two kinds of juices in the following ratio: 1 cup of blueberry to 3 cups of red raspberry. How many cups of red raspberry will Eddie need to make 48 cups of fruit punch?

Question

How do you solve this? I was trying to divide 48 by 3 my answer is 16 but that is wrong. The answer is 36 but I don't know what I am doing wrong. Can someone please explain how I should solve this correctly?

Answer 1

let the amount blueberry juice be x cups
let the amount of raspberry cups be 3x cups
(notice x : 3x = 1 : 3 , as needed)

x + 3x = 48
4x = 48
x = 12
So she needs 12 cups of blueberry and 36 cups of raspberry

notice 12 : 36 = 1 : 3 as required.