SOLUTION: cashews sell for $5 per pound and peanuts sell for $2 per pound. How many pounds of each would you use to make 21 pounds of a mixture that sells for $3.00 per pound?
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Question 148915: cashews sell for $5 per pound and peanuts sell for $2 per pound. How many pounds of each would you use to make 21 pounds of a mixture that sells for $3.00 per pound? Found 2 solutions by nabla, mangopeeler07:Answer by nabla(475) (Show Source):
You can put this solution on YOUR website! C(s)=5s
P(t)=2t
where s is the amount of pounds of cashews, and t is the amount of pounds of peanuts.
We want
(C(s)+P(t))/(s+t)=3
and
s+t=21
thus,
C(s)+P(t)=63
5s+2t=63.
s+t=21--->s=21-t
5(21-t)+2t=63
-3t=-42
t=14
If t=14,
5s+28=63
5s=35
s=7
So we want a mixture of 7 lb of cashews and 14 lb of peanuts in order to make 21 lb of mixture that will sell for $3./lb.
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