Problema Solution

A chemist mixes some 70% solution with some 40% solution to obtain 120 gallons of 50% solution. Find the number of gallons of each solution.

Answer provided by our tutors

Let

x = gallons of 70% solution

y = gallons of 40% solution

x + y = 120

0.70x + 0.40y = 0.50*120

........

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

........

x = 40 gal

y = 80 gal

The chemist will use 40 gallons of the 70% solution and 80 gallons of the 40% solution.