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The owner of a​ health-food store sells dried apples for ​$1.30 per​ quarter-pound, and dried apricots for ​$1.60 per​ quarter-pound. How many pounds of each must he mix together to get 20 lb of a mixture that sells for ​$1.51 per​ quarter-pound?

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jepessoa

Answer:

6 pounds of dried apples and 14 pounds of dried apricots

Explanation:

A = dried apples

B = dried apricots

1.3A + 1.6B = 1.51 x 20 = 30.2

A + B = 20

A = 20 - B

Replace A:

1.3(20 - B) + 1.6B = 30.2

26 - 1.3B + 1.6B = 30.2

0.3B = 30.2 - 26 = 4.2

B = 4.2 / 0.3 = 14

A = 6

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