How many pounds of each must he mix together to get 40 lb of a mixture that sells for ​$1.81 per​ quarter-pound?

Question

The owner of a health-food store sells dried apples for $1.50 per quarter-pound, and dried apricots for $1.90 per quarter-pound. How many pounds of each must he mix together to get 40 lb of a mixture that sells for $1.81 per quarter-pound?

Answer 1

x represents the amount of apples

40 - x represents the amount of apricots

apples cost $6 / lb

apricots cost $7.60 / lb

mixture cost $7.24 / lb

6(x) + 7.6(40 -x) = 7.24(40)

 

Can you solve for x and answer?