A punch recipe says 4 cups of pineapple juice , 8 cups of orange juice , and 12 cups seltzer in order to make 18 servings of punch . how many cups of each ingredient do you need to make 108 cups of punch.

Since 108 is 6 times more than 18, you need 6 times more of each ingredient.

108/(4+8+12) = 108/24 = 9/2 = 4.5 Times as much punch.

Pineapple = 4.5 * 4 = 18 cups.
Orange = 4.5 * 8 =
Selzer = 4.5 * 12 =

To determine how many cups of each ingredient you need to make 108 cups of punch, you can create a ratio based on the number of servings and the quantity of each ingredient required for that number of servings.

Let's calculate the ratio first:
For 18 servings, the recipe requires:
- 4 cups of pineapple juice
- 8 cups of orange juice
- 12 cups of seltzer

To find the ratio, divide each ingredient quantity by the number of servings:
Pineapple juice ratio = 4 cups / 18 servings
Orange juice ratio = 8 cups / 18 servings
Seltzer ratio = 12 cups / 18 servings

Now, we can use this ratio to determine the quantity of each ingredient needed for 108 cups of punch:
Pineapple juice = Pineapple juice ratio * 108 cups
Orange juice = Orange juice ratio * 108 cups
Seltzer = Seltzer ratio * 108 cups

Calculating the amounts:
Pineapple juice = (4 cups / 18 servings) * 108 cups = 24 cups
Orange juice = (8 cups / 18 servings) * 108 cups = 48 cups
Seltzer = (12 cups / 18 servings) * 108 cups = 72 cups

To make 108 cups of punch, you will need 24 cups of pineapple juice, 48 cups of orange juice, and 72 cups of seltzer.