Question

One fruit punch has 10% juice and another has 50%. How much of the 10% should be mixed with 30 gal of the 50% to create punch that is 25% juice

Answer 1

We combine x ounces of 100% juice

with 40-x of 10% juice

to get 40 ounces of 55% juice

x + 0.1(40-x) = .55(40)

x + 4 - 0.1x = 22

0.9x + 4 = 22

.09x = 18

x = 20 ounces of 100% juice

40-x = 20 ounces of 10% juice

We combine 20 ounces of each.

Explanation: