a punch recipe says to mix 4 cups pineapple juice, 8 cup orange juice, and 12 cups seltzer in order to make 18 servings of punch.
a. how many cups of each ingredient do you need to make 108 cups of punch?
b. how many servings can be made from 108 cups of punch
c for every cup of seltzer you use how much orange juice do you use
THANX!!!
18 servings = 4+8+12 = 24 cups
so there are (4/3)cups/serving
108 cups (3 servings/4 cups )=81 servings
8 cups oj/12 cups sel
= (2/3) oj/sel
a. To determine the number of cups of each ingredient needed to make 108 cups of punch, we can use a proportion.
First, let's find the ratio of the total cups of punch to the individual ingredient in the original recipe.
For pineapple juice:
Original recipe - 4 cups pineapple juice for 18 servings
Ratio - 4 cups / 18 servings = 0.22 cups/serving
For orange juice:
Original recipe - 8 cups orange juice for 18 servings
Ratio - 8 cups / 18 servings = 0.44 cups/serving
For seltzer:
Original recipe - 12 cups seltzer for 18 servings
Ratio - 12 cups / 18 servings = 0.67 cups/serving
Now, we can apply the ratios to the desired 108 cups of punch.
For pineapple juice:
Ratio - 0.22 cups/serving
Number of cups - 0.22 cups/serving x 108 servings = 23.76 cups
For orange juice:
Ratio - 0.44 cups/serving
Number of cups - 0.44 cups/serving x 108 servings = 47.52 cups
For seltzer:
Ratio - 0.67 cups/serving
Number of cups - 0.67 cups/serving x 108 servings = 72.36 cups
Therefore, you would need approximately 23.76 cups of pineapple juice, 47.52 cups of orange juice, and 72.36 cups of seltzer to make 108 cups of punch.
b. To determine the number of servings that can be made from 108 cups of punch, we need to use the original recipe's ratio of servings to cups.
Original recipe - 18 servings for 24 cups
Ratio - 18 servings / 24 cups = 0.75 servings/cup
Number of servings in 108 cups of punch:
Ratio - 0.75 servings/cup
Number of servings - 0.75 servings/cup x 108 cups = 81 servings
Therefore, you can make approximately 81 servings from 108 cups of punch.
c. To determine how much orange juice is used for every cup of seltzer, we can use the original recipe's ratio of cups of orange juice to cups of seltzer.
Original recipe - 8 cups orange juice for 12 cups seltzer
Ratio - 8 cups orange juice / 12 cups seltzer = 0.67 cups orange juice/cup seltzer
So, for every cup of seltzer used, you would need approximately 0.67 cups of orange juice.