SOLUTION: A nut wholesaler sells a mix of nuts and cashews. the wholesaler charges 2.65 per pound for nuts and 4.90 per pound for cashews.the mix is to sell for 3.28 per pound. how many poun

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Question 485684: A nut wholesaler sells a mix of nuts and cashews. the wholesaler charges 2.65 per pound for nuts and 4.90 per pound for cashews.the mix is to sell for 3.28 per pound. how many pounds of nuts and how many pounds of cashews should be used to make 125 pounds of mix
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = pounds of nuts to be used
Let +c+ = pounds of cashews to be used
given:
(1) +n+%2B+c+=+125+
(2) +2.65n+%2B+4.9c+=+3.28%2A125+
------------------------
Multiply both sides of (2) by +100+
(2) +265n+%2B+490c+=+41000+
Multiply both sides of (1) by +265+ and
subtract (1) from (2)
(2) +265n+%2B+490c+=+41000+
(1) +-265n+-+265c+=+-33125+
+225c+=+7875+
+c+=+35+
and, since
(1) +n+%2B+c+=+125+
(1) +n+%2B+35+=+125+
(1) +n+=+90+
90 pounds of nuts are to be used
35 pounds of cashews are to be used
check:
(2) +2.65n+%2B+4.9c+=+3.28%2A125+
(2) +2.65%2A90+%2B+4.9%2A35+=+3.28%2A125+
(2) +238.5+%2B+171.5+=+410+
(2) +410+=+410+