Problema Solution

How many liters each of a 30% acid solution and a 50% acid solution must be used to produce 70 liters of a 40% acid solution?

Answer provided by our tutors

let


x = the liters of the 30% acid solution

y = the liters of the 50% acid solution


30% of x + 50% of y = 40% of 70 liters


that is


x + y = 70

0.30*x + 0.50*y = 0.40*70


by solving the above system of equations we find


x = 35 liters


y = 35 liters


we should mix 35 liters of the 30% acid solution and 35 liters of the 50% acid solution.