Problema Solution
A company produces 1 juice that contains 20% real fruit juice. They produce another that is 70% real fruit juice.
How many pints of each juice would be needed to produce 40 pints of juice that contains 55% real fruit juice?
Answer provided by our tutors
Let 'x' represent the amount of 20% juice, then '40-x' represents the amount of 70% juice.
Each percentage should be reported as decimals, 20% is 0.20, 70% is 0.70 and 55% is 0.55:
0.55*40=0.20x+0.70(40-x)
x=12
40-12=28
So 12 pints of 20% real fruit juice should be combined with 28 pints of 70% real fruit juice.