A recipe for fruit punch calls for 2 1/2 c of orange juice, 1 1/3 c of pineapple juice, and 1 3/4 c of soda water. If June makes 4 times the recipe, how many cups of fruit punch will she have?
If c stands for cups then if June makes the recipe as it stands she will use
2 1/2 + 1 1/3 + 1 3/4 cups of liquid
(67 /12)
But she makes 4 times that amount so she makes 67/3 cups. In whole number of cups that's 22 cups.
To find out how many cups of fruit punch June will have when she makes 4 times the recipe, we need to calculate the total amount of each ingredient for the original recipe and then multiply them by 4.
Let's start by calculating the total amount of each ingredient for the original recipe:
Orange juice: 2 1/2 cups
Pineapple juice: 1 1/3 cups
Soda water: 1 3/4 cups
To add these amounts, we need to find a common denominator for the fractions. Let's convert all the fractions to have a denominator of 2:
2 1/2 cups = 5/2 cups
1 1/3 cups = 4/3 cups
1 3/4 cups = 7/4 cups
Now, let's add these amounts:
5/2 cups + 4/3 cups + 7/4 cups
To add fractions, we need to find a common denominator. The least common multiple (LCM) of 2, 3, and 4 is 12. Let's convert all the fractions to have a denominator of 12:
(5/2) * (6/6) = 30/12 cups
(4/3) * (4/4) = 16/12 cups
(7/4) * (3/3) = 21/12 cups
Now, let's add the fractions:
30/12 cups + 16/12 cups + 21/12 cups = 67/12 cups
So, the original recipe makes 67/12 cups of fruit punch.
To find out how many cups of fruit punch June will have when she makes 4 times the recipe, we need to multiply 67/12 cups by 4:
(67/12 cups) * 4 = 268/12 cups
Now, let's simplify the fraction:
268/12 = 22 4/12 cups
We can simplify 4/12 by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 4:
4/12 = 1/3
So, the final answer is:
22 1/3 cups
Therefore, when June makes 4 times the recipe, she will have 22 1/3 cups of fruit punch.
To determine the total amount of fruit punch June will have, we need to calculate the cumulative amount of each ingredient in the original recipe and then multiply it by 4.
1. Orange juice: 2 1/2 cups
2. Pineapple juice: 1 1/3 cups
3. Soda water: 1 3/4 cups
To find the total amount of each ingredient, we add them together:
2 1/2 + 1 1/3 + 1 3/4
To add these mixed fractions, we need to find a common denominator. The least common denominator of 2, 3, and 4 is 12.
(2/2 * 6/6) + (1/3 * 4/4) + (3/4 * 3/3)
= 12/12 + 4/12 + 9/12
= 25/12
This means that the total amount of fruit punch in one recipe is 25/12 cups.
To find the amount of fruit punch June will have, we need to multiply this amount by 4:
(25/12) * 4
= 100/12
= 8 1/3 cups
Therefore, June will have approximately 8 1/3 cups of fruit punch.