SOLUTION: How many pounds of nuts selling for ​$9 per lb and raisins selling for ​$3 per lb should a person combine to obtain 240 lb of a trail mix selling for ​$5 per&#820

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Question 1022082: How many pounds of nuts selling for ​$9 per lb and raisins selling for ​$3 per lb should a person combine to obtain 240 lb of a trail mix selling for ​$5 per​ lb?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the number of pounds of $9 nuts being sold. Then 240-x would be the number of pounds of raisins being sold. The set up looks like this:
9x + 3(240-x) = 5(240)
9x + 720 - 3x = 1200
6x + 720 = 1200
6x = 480
x = 80 pounds of nuts
which means
240-x = 160 pounds of raisins