SOLUTION: A candy store sells candy in bulk. In one bin are sour worms which sells for $2.20 per pound and a second bin are sour bears which sell for $2.75 per pound. How much of each type s

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Question 957966: A candy store sells candy in bulk. In one bin are sour worms which sells for $2.20 per pound and a second bin are sour bears which sell for $2.75 per pound. How much of each type should be mixed to obtain a 3 pound mixture that sells for $2.40 per pound?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = pounds of sour worms needed
Let +b+ = pounds of sour bears needed
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(1) +a+%2B+b+=+3+
(2) +%28+2.2a+%2B+2.75b+%29+%2F+3+=+2.4+
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(2) +2.2a+%2B+2.75b+=+2.4%2A3+
(2) +2.2a+%2B+2.75b+=+7.2+
(2) +220a+%2B+275b+=+720+
(2) +44a+%2B+55b+=+144+
Multiply both sides of (1) by +44+
and subtract (1) from (2)
(2) +44a+%2B+55b+=+144+
(1) +-44a+-+44b+=+132+
------------------------
+11b+=+12+
+b+=+12%2F11+
and
(1) +a+%2B+12%2F11+=+3+
(1) +a+=+33%2F11+-+12%2F11+
(1) +a+=+21%2F11+
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1.909 pounds of sour worms are needed
1.091 pounds of sour bears are needed
check:
(2) +%28+2.2a+%2B+2.75b+%29+%2F+3+=+2.4+
(2) +%28+2.2%2A%2821%2F11%29+%2B+2.75%2A%2812%2F11%29+%29+%2F+3+=+2.4+
(2) +.2%2A21+%2B+3++=+2.4%2A3+
(2) +4.2+%2B+3+=+7.2+
(2) +7.2+=+7.2+
OK