# finitemath

a store sells cashews for \$5.00 per pound and peanuts for \$1.50 per pound. the manager decides to mix 30 pounds of peanuts with some cashews and sell the mixture for \$3.00 per pound. how many pounds of cashews should be mixed with the peanuts so that the mixture will produce the same revenue as would selling the nuts separately?

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1. Equate total selling price of mixture to total selling price of components. Solve for weight of cashews.

Let
x=weight of cashews to be added
Total price of mixture
= 3(30+x)
Total price of components
= 30*1.5 + 5x

Equate and solve for x:
3(30+x) = 30*1.5 + 5x
Isolate x and solv
5x-3x = 3(30)-30(1.5)
2x = 45
x = 22.5 lbs

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2. thanks a million!

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3. The grocery store sells kumquats for \$3.75 a pound and Asian pears for \$2.25 a pound. Write an equation in standard form for the weights of kumquats k and Asian pears p that a customer could buy with \$14.

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