Lesson: Applications of Linear Equations in One vabiable

Question

A grocer wants to mix two kinds of candy. One kind sells for $2.05 per pound, and the other sells for $2.45 per pound. He wants to mix a total of 15 pounds and sell it for $2.10

per pound. How many pounds of each kind should he use in the new mix? (Round off the answers to the nearest hundredth.)

 

There are two answers.

Answer 1

a + b = 15 ----> a = 15 - b

2.05a + 2.45b = 2.1(15)

 

Substitute!

 

2.05(15 - b) + 2.45b = 2.1(15)

30.75 - 2.05b + 2.45b = 31.5

0.4b = 0.75

b = 1.875 = 1.88 lbs

 

a = 15 - 1.88

a = 13.12 lbs