Problema Solution
The Royal Fruit Company produces two types of fruit drinks. The first type is 50% pure fruit juice and the second type is 80% pure fruit juice. The company is attempting to produce a fruit drink that contains 60% pure fruit juice. How many of the the two existing types of drink must be used to make 120 pints of a mixture that is 60% pure fruit juice?
Answer provided by our tutors
let
x = pints of the first type 50% pure fruit juice
y = pints of the second type 80% pure fruit juice
the two existing types of drink must be used to make 120 pints of a mixture that is 60% pure fruit juice
x + y = 120
0.50x + 0.80y = 0.60*120
by solving the above system of equations we get
x = 80 pints
y = 40 pints
click here to see the step by step solution of the system of equations
80 pints of the first 50% type juice should be mixed with 40 pints of the second 80% type of pure fruit juice.