A zebra is making punch with orange juice and Pam organic juice. She mixes the two juices according to the amount indicated in the table below how many cups of Ramen juice should she add to 20 cups of orange juice?
Number of cups of orange juice
4
16
Number of cups of pomegranate juice
3
12
Based on the table, the zebra mixes 4 cups of orange juice with 3 cups of pomegranate juice and 16 cups of orange juice with 12 cups of pomegranate juice.
To find out how many cups of pomegranate juice the zebra should add to 20 cups of orange juice, we need to determine the ratio of orange juice to pomegranate juice.
For the first mix, the ratio is 4:3 (orange juice to pomegranate juice).
For the second mix, the ratio is 16:12 (orange juice to pomegranate juice).
To find a common ratio that applies to both mixes, we can simplify these ratios.
The first ratio can be simplified to 4/3 (orange juice to pomegranate juice).
The second ratio can be simplified to 4/3 as well (orange juice to pomegranate juice).
Now we can find a common ratio between these two simplified ratios.
To do this, we can set up a proportion:
4/3 = 16/12
To solve for x, we cross-multiply:
12x = 48
Dividing by 12:
x = 4
Therefore, the zebra should add 4 cups of pomegranate juice to 20 cups of orange juice.