A recipe for fruit punch calls for 1 cups of pineapple juice for every 2 cups of cranberry juice, and you want to make 48 cups of fruit punch.

I assume the question is, how many cups of each juice ??

p :c = 1 : 2 = x : 2x

x + 2x = 48
x = 16

You will need 16 cups of pineapple juice and 32 cups of cranberry juice

To make 48 cups of fruit punch, you will need to determine the quantities of pineapple juice and cranberry juice needed following the given ratio.

Given that the ratio is 1 cup of pineapple juice for every 2 cups of cranberry juice, let's calculate the amounts needed:

1. Calculate the Cranberry Juice:
- The ratio states that you need 2 cups of cranberry juice for every 1 cup of pineapple juice.
- So, divide the total cups of fruit punch (48 cups) by the sum of the ratios (2 + 1 = 3) to get the ratio factor:
48 cups / 3 = 16 cups of cranberry juice.

2. Calculate the Pineapple Juice:
- Multiply the amount of cranberry juice by the ratio of pineapple juice to cranberry juice.
- Multiply 16 cups of cranberry juice by 1 cup of pineapple juice divided by 2 cups of cranberry juice:
16 cups x (1/2) = 8 cups of pineapple juice.

Therefore, to make 48 cups of fruit punch, you will need 8 cups of pineapple juice and 16 cups of cranberry juice.

To determine the amount of pineapple and cranberry juice needed to make 48 cups of fruit punch, we need to use the ratio provided in the recipe.

The ratio mentions that for every 1 cup of pineapple juice, we need 2 cups of cranberry juice. This means that the ratio is 1:2.

To find the amount of pineapple juice needed, we can set up a proportion using the given ratio:

1 cup of pineapple juice / 2 cups of cranberry juice = x cups of pineapple juice / 48 cups of fruit punch

Cross-multiplying and solving for x, we get:

2 cups of cranberry juice * x cups of pineapple juice = 1 cup of pineapple juice * 48 cups of fruit punch
2x = 48
x = 24

So, you will need 24 cups of pineapple juice for 48 cups of fruit punch.

Now, to determine the amount of cranberry juice, we multiply the number of cups of pineapple juice (24 cups) by the ratio mentioned in the recipe:

24 cups of pineapple juice * 2 cups of cranberry juice per 1 cup of pineapple juice = 48 cups of cranberry juice

Therefore, to make 48 cups of fruit punch, you will need 24 cups of pineapple juice and 48 cups of cranberry juice.