Question

The owner of a health-food store sells dried apples for $1.30 per quarter-pound, and dried apricots for $1.70 per quarter-pound. How many pounds of each must he mix together to

get 40 lb of a mixture that sells for $1.61 per quarter-pound?

Answer 1

Answer: 9 lb of apples and 31 lb of apricots

Explanation:

1.3a + 1.7(40 - a) = 1.61(40)

1.3a+1.7*40-1.7a=64.4

1.3a+68-1.7a=64.4

68-0.4a=64.4

68-64.4=0.4a

0.4a=3.6

a=9 pounds of apples

40-a=

40-9=31 pounds of apricots

9 lb of apples and 31 lb of apricots