Question

A saleswoman sells a​ dried-fruit mixture for ​$5.60 per pound and nuts for ​$14.25 per pound. She wants to blend the two to get a 15​-lb mixture that she will sell for ​$9.06 per pound. How much of each should she​ use? Solve using matrix

Answer 1

Nuts= 2.56

Dried fruit= 12.44

Explanation:

x + y = 15

5.6 x + 14.25 y = 9.06 * 15

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x = 15 - y

5.6 x + 14.25 y = 134.9

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5.6(15 - y) + 14.25 y = 134.9

84 -5.6y + 14.25y = 134.9

19.85y - 50.9

y = 2.56

x= 12.44