Posted by sha on Wednesday, June 23, 2010 at 10:01pm.
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?

finitemath  MathMate, Thursday, June 24, 2010 at 8:33am
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

finitemath  sha, Thursday, June 24, 2010 at 9:57am
thanks a million!

finitemath  Anonymous, Thursday, November 13, 2014 at 1:33pm
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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