finitemath
posted by sha on .
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?

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
5x3x = 3(30)30(1.5)
2x = 45
x = 22.5 lbs 
thanks a million!

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.