college algebra help

Question

The owner of a health-food store sells dried apples for $1.10 per quarter-pound, and dried apricots for $1.50 per quarter-pound. How many pounds of each must he mix together to get 40 lb of a mixture that sells for $1.46 per quarter-pound?

Answer 1

a represents the amount of apples

40 - a represents the amount of apricots

1.1a + 1.5(40 - a) = 1.45(40)

 

Can you solve for a and answer the question?