Problema Solution

Four gallons of paint contain 2.5% pigment. How many galloons of paint that is 6% pigment must be added to make a paint that is 4% pigment?

Answer provided by our tutors

let


x = gallons of paint that is 6% pigment


we must mix x with 4 gallons of paint that is 2.5% pigment to obtain (x + 4) gallons of paint that is 4% pigment


0.06*x + 0.025*4 = 0.04*(x + 4)


by solving the equation we find


x = 3 gallons


we must add 3 gallons of paint that is 6% pigment.