Problema Solution

Write a system of two equations in two variables to solve the problem.

How much of a 40% antifreeze solution must a mechanic mix with an 80% antifreeze solution if 12 gallons of a 50% antifreeze solution are needed?

Answer provided by our tutors

let


x = gal of the 40% antifreeze solution


y = gal of the 80% antifreeze solution


0.40x + 0.80y = 0.50*12


x + y = 12


by solving we find:


x = 9 gal


y = 3 gal


click here to see the step by step solution of the system of equations:


Click to see all the steps



9 gallons of 40% antifreeze solution must be mixed with 3 gallons of 80% antifreeze solution.