SOLUTION: A store is having a sale on jelly beans and trail mix. For 6 pounds of jelly beans and 2 pounds of trail mix, the total is $16. For 3 pounds of jelly beans and 5 pounds of trail mi

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Question 1030100: A store is having a sale on jelly beans and trail mix. For 6 pounds of jelly beans and 2 pounds of trail mix, the total is $16. For 3 pounds of jelly beans and 5 pounds of trail mix, the total cost is $13. Find the cosh for each pound of jelly beans and each trail mix.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = cost/pound of jelly beans
Let +b+ = cost/pound of trail mix
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(1) +6a+%2B+2b+=+16+
(2) +3a+%2B+5b+=+13+
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Multiply both sides of (2) by +2+
and subtract (1) from (2)
(2) +6a+%2B+10b+=+26+
(1) +-6a+-+2b+=+-16+
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+8b+=+10+
+b+=+1.25+
and
(1) +6a+%2B+2b+=+16+
(1) +3a+%2B+b+=+8+
(1) +3a+%2B+1.25+=+8+
(1) +3a+=+6.75+
(1) +a+=+2.25+
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The jelly beans cost $2.25 / pound
The trail mix costs $1.25 / pound
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check:
(2) +3%2A2.25+%2B+5%2A1.25+=+13+
(2) +6.75+%2B+6.25+=+13+
(2) +13+=+13+
OK
(1) +6%2A2.25+%2B+2%2A1.25+=+16+
(1) +13.5+%2B+2.5+=+16+
(1) +16+=+16+
OK