SOLUTION: A merchant has 4 pounds of mixed nuts that cost $40. He wants to add peanuts that cost $1.70 per pound and cashews that cost $4.30 per pound to obtain 60 pounds of a mixture that c

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Question 797707: A merchant has 4 pounds of mixed nuts that cost $40. He wants to add peanuts that cost $1.70 per pound and cashews that cost $4.30 per pound to obtain 60 pounds of a mixture that costs $2.20 per pound. How many pounds of peanuts are needed?
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
+4%2A40+=+160+ = cost of mixed nuts in mixture
+60%2A2.2+=+132+ = cost of the mixture
+60+-+4+=+56+ pounds of peanuts and
cashews in mixture
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(1) +p+%2B+c+=+56+
(2) ++160+%2B+1.7p+%2B+4.3c+=+132+
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(2) +1.7p+%2B+4.3c+=+-28+
I think there is something wrong with the data.
The cost of the mixed nuts is $160 and they
want the final mixture to cost $132 which is not
possible. Get a 2nd opinion, definitely, but I
don't see a way to solve this.