Problema Solution

A merchant has some hard candy that sells for .45 cents per pound and another that sells for .70 cents per pound. He wishes to make 120 pound mixture of these two candies to sell for .55 cents per pound. How many pounds of each candy should he use to make this candy mixture?

Answer provided by our tutors

let 'x' represent the pounds of of .45 cent candy used, then '120-x' represents the pounds of .70 candy used


120(.55) = 0.45x + 0.70(120-x)

solving for 'x' we have x=72


120-72 = 48


48 pounds of 0.70 cent candy should be mixed with 72 pounds of 0.45 cent candy