a container of fruit punch contains one half apple juice, one third pineapple juice and one sixth orange juice. If the container contains 12 cups how many cups are pineapple juice?
HUH?
(1/3)(12) = 4
To find out how many cups of pineapple juice are in the container of fruit punch, we need to determine the proportion of pineapple juice in the mixture.
Let's break it down step by step:
1. Calculate the total proportion of juice in the container:
The container contains one half apple juice (1/2), one third pineapple juice (1/3), and one sixth orange juice (1/6). So, the total proportion of juice in the container is 1/2 + 1/3 + 1/6 = 3/6 + 2/6 + 1/6 = 6/6, which is the equivalent of 1 whole.
2. Determine the proportion of pineapple juice:
The proportion of pineapple juice in the mixture is 1/3.
3. Calculate the number of cups of pineapple juice:
Since the container contains 12 cups in total, we can find the number of cups of pineapple juice by multiplying the total volume by the proportion of pineapple juice:
12 cups * (1/3) = 4 cups.
Therefore, there are 4 cups of pineapple juice in the container of fruit punch.