SOLUTION: How many pounds of nuts selling for ​$6 per lb and raisins selling for ​$3 per lb should a person combine to obtain 60 lb of a trail mix selling for ​$4 per&#8203

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Question 1020891: How many pounds of nuts selling for ​$6 per lb and raisins selling for ​$3 per lb should a person combine to obtain 60 lb of a trail mix selling for ​$4 per​ lb?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = pounds of nuts needed
Let +b+ = pounds of raisins needed
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(1) +a+%2B+b+=+60+
(2) +%28+6a+%2B+3b+%29+%2F+60+=+4+
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(2) +6a+%2B+3b+=+240+
(2) +2a+%2B+b+=+80+
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Subtract (1) from (2)
(2) +2a+%2B+b+=+80+
(1) +-a+-+b+=+-60+
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+a+=+20+
and
(1) +a+%2B+b+=+60+
(1) +20+%2B+b+=+60+
(1) +b+=+40+
20 pounds of nuts are needed
40 pounds of raisins are needed
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check:
(2) +%28+6a+%2B+3b+%29+%2F+60+=+4+
(2) +%28+6%2A20+%2B+3%2A40+%29+%2F+60+=+4+
(2) +%28+120+%2B+120+%29+%2F+60+=+4+
(2) +240+=+4%2A60+
(2) +240+=+240+
OK