Problema Solution

How much pure acid should be mixed with 5 gallons of a 40% acid solutionin order to get a 50% acid solution?

Answer provided by our tutors

let


x = gallons of pure acid that is 100% acid solution


100% of x gallons acid + 40% of 5 gallons acid = 50% of (x + 5) gallons acid


1*x + 0.4*5 = 0.5*(x+5)


x + 2 = 0.5x + 2.5


x - 0.5x = 2.5 - 2


0.5x = 0.5


x = 1 gallon


we need 1 gallon of pure acid.