SOLUTION: A candy store wants to mix candy that costs $2 a pound with some that costs $3 a pound. They want 80 pounds of candy to sell for $2.20 a pound. How much of each type should be used

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Question 1065447: A candy store wants to mix candy that costs $2 a pound with some that costs $3 a pound. They want 80 pounds of candy to sell for $2.20 a pound. How much of each type should be used?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = pounds of $2 candy needed
Let +b+ = pounds of $3 candy needed
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(1) +a+%2B+b+=+80+
(2) +%28+2a+%2B+3b+%29+%2F+80+=+2.2+
(2) +2a+%2B+3b+=+176+
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Multiply both sides of (1) by +2+ and
Subtract (1) from (2)
(2) +2a+%2B+3b+=+176+
(1) +-2a+-2b+=+-160+
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+b+=+16+
and
(1) +a+%2B+b+=+80+
(1) +a+%2B+16+=+80+
(1) +a+=+64+
64 pounds of $2 candy are needed
16 pounds of $3 candy are needed
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check answer:
(2) +%28+2a+%2B+3b+%29+%2F+80+=+2.2+
(2) +%28+2%2A64+%2B+3%2A16+%29+%2F+80+=+2.2+
(2) +%28+128+%2B+48+%29+%2F+80+=+2.2+
(2) +176%2F80+=+2.2+
(2) +176+=+2.2%2A80+
(2) +176+=+176+
OK