Question

a grocer has to sell two kinds of candy, one selling for 40 cents a pound and the other for $1.40 per pound. how many pounds of each kind must he use to make 100 pounds worth 85 cents a pound

Answer 1

• $1.40 candy: 45 pounds
• $0.40 candy: 55 pounds

Explanation:

Let x represent the number of pounds of the more expensive candy. Then the price of the mix is ...

1.40x +0.40(100 -x) = 0.85(100)

x +40 = 85 . . . . . . simplify

x = 45 . . . . . . . . subtract 40

100 -x = 55 . . . pounds of cheaper candy

The grocer must use 45 pounds of $1.40 candy and 55 pounds of $0.40 candy to make the mix.