SOLUTION: The manager of a coffee shop sells chocolate covered peanuts for $6 dollars per pound and chocolate covered cashews for $15 dollars per pound. The manager wishes to mix 70 pounds o

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Question 126279: The manager of a coffee shop sells chocolate covered peanuts for $6 dollars per pound and chocolate covered cashews for $15 dollars per pound. The manager wishes to mix 70 pounds of the cashews to get a cashew-peanut mixture that will sell for $13 dollars per pound. How many pounds of peanuts should be used?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let p = pounds of peanuts needed
Let c = pounds of cashews needed
c+=+70 given
In words:
(price of peanuts used)+(price of casews used)/(pounds of mixture) = price/pound
%286p+%2B+15c%29+%2F+%28p+%2B+c%29+=+13
%286p+%2B+15%2A70%29+%2F+%28p+%2B+70%29+=+13
6p+%2B+1050+=+13p+%2B++910
7p+=+1050+-+910
7p+=+140
p+=+20 answer
20 pounds of peanuts should be used
check answer:
%286p+%2B+15c%29+%2F+%28p+%2B+c%29+=+13
%286%2A20+%2B+15%2A70%29+%2F+%2820+%2B+70%29+=+13
%28120+%2B+1050%29+%2F+90+=+13
1170+%2F+90+=+13
13+=+13
OK