SOLUTION: How many pounds of nuts selling for ​$6 per lb and raisins selling for ​$3 per lb should a person combine to obtain 150 lb of a trail mix selling for &#8203

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Question 1107710: How many pounds of nuts selling for ​$6

per lb and raisins selling for ​$3

per lb should a person combine to obtain 150

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+=+150+
(2) +%28+6a+%2B+3b+%29+%2F+150+=+4+
---------------------------------
(2) +6a+%2B+3b+=+4%2A150+
(2) +6a+%2B+3b+=+600+
(2) +2a+%2B+b+=+200+
------------------------------
Subtract (1) from (2)
(2) +2a+%2B+b+=+200+
(1) +-a+-+b+=+-150+
---------------------------
+a+=+50+
and
+50+%2B+b+=+150+
+b+=+100+
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50 pounds of nuts and 100 pounds of raisins are needed