Azeriah is making punch with orange juice and pomegranate juice. She mixes the two juices according to the amounts indicated in the table below. How many cups of pomegranate juice should she add to 20 cups of orange juice?

Question

Number of cups of orange juice:
4
16

Number of cups of pomegranate juice:
3
12

Answer 1

To find out how many cups of pomegranate juice Azeriah should add to 20 cups of orange juice, we need to determine the ratio of orange juice to pomegranate juice.

The ratio can be calculated by dividing the number of cups of orange juice by the number of cups of pomegranate juice. Let's use the first set of numbers from the table:

Ratio = cups of orange juice / cups of pomegranate juice
Ratio = 4 / 3

Now we find out how many cups of pomegranate juice she should add to 20 cups of orange juice. Let's call this value x.

x/20 = Ratio = 4/3

To solve for x, cross-multiply:
3x = 20 * 4
3x = 80
x = 80/3

So, Azeriah should add approximately 26.7 cups of pomegranate juice to 20 cups of orange juice.