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?

Question

MathMate · Accepted Answer

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

sha · Answer

thanks a million!

Anonymous · Answer

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.