Problema Solution

A 20% concentrate is to be mixed with a mixture having a concentration of 60% to obtain 80 liters of a mixture with a concentrate of 30%. How much of the 20% concentrate and the 60% concentrate will be needed?

Answer provided by our tutors

Let

x = liters of the 20% concentrate, x>=0

y = liters of the 60% concentrate, y>=0

The mixture is 80 liters with 30% concentration:

x + y = 80

0.20x + 0.60y = 0.30*80

........

click here to see the system of equations solved for x and y

........

x = 60 L

y = 20 L

60 liters of the 20% concentrate and 20 liters of he 60% concentrate is needed.