How many liters of each should be mixed together in order to get 15L that is 24% orange juice?

Question

one canned juice drink is 25% ornage juice, another is 10% orange juice. how many liter of ea. should be mixed together in order to get 15L that is 24% of orange juice?

Answer 1

How much orange juice in 15L of mixture? There is 0.24*15=3.6L.

Let x=litres of 25% juice and y=litres of 10% juice.

So we need x+y=15L and 0.25x+0.1y=3.6 for the right concentration of juice.

We know y=15-x so we can substitute for y in the other equation:

0.25x+0.1(15-x)=3.6, 0.25x+1.5-0.1x=3.6, 0.15x=2.1, x=2.1/0.15=210/15=14L so y=1L.

We need 14L of 25% juice and 1L of 10% juice.