If 10 pounds of the two items mixes together costs $24.50, find the amount of each type in the mixture

Question

A health food store charges $2.00 per pound for high-protein nature mix and $2.75 for low-carb soy medley. If 10 pounds of the two items mixes together costs $24.50, find the amount of each type in the mixture

Answer 1

Assuming the amount of a high-protein nature is x, then low-card soy would be (10-x). This leads to the equation:
2.75x + 2(10-x)=24.5
or in simplified form
0.75x = 4.5,

thus x=6lbs (amount of high-protein) Correspondingly, the amount of low-carb soy is 4lbs.

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