Problema Solution
The Royal Fruit Company produces two types of fruit drinks. The first type is 30% pure fruit juice, and the second type is 55% pure fruit juice.
The company is attempting to produce a fruit drink that contains 50% pure fruit juice. How many pints of each of the two existing types of drink must be used to make
150 pints of a mixture that is 50% pure fruit juice?
Answer provided by our tutors
let
x = pints of the first type of juice (30% pure fruit juice)
y = pints of the second type of juice (55% pure fruit juice)
the mixture is 150 pints of 50% pure fruit juice
x + y = 150
0.30x + 0.55y = 0.50*150
by solving the system of equations we find
x = 30 pints
y = 120 pints
click here to see the step by step solution of the system of equations
30 pints of the first type of juice should be mixed with 120 pints of the second type of juice.