SOLUTION: At Lowes home improvement center, halogen light bulbs cost $12.50 each and fluorescent bulbs cost $8.00 each. One day the recepits for a total of 376 bulbs were $3683. How many hal

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Question 870915: At Lowes home improvement center, halogen light bulbs cost $12.50 each and fluorescent bulbs cost $8.00 each. One day the recepits for a total of 376 bulbs were $3683. How many halogen bulbs were sold?
Found 2 solutions by lwsshak3, josmiceli:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
At Lowes home improvement center, halogen light bulbs cost $12.50 each and fluorescent bulbs cost $8.00 each. One day the recepits for a total of 376 bulbs were $3683. How many halogen bulbs were sold?
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let x=number of halogen bulbs that were sold
376-x=number of flourscent bulbs that were sold
..
12.50x+8.00(376-x)=3683
12.50x+3008-8x=3683
4.5x=675
x=150
number of halogen bulbs that were sold=150

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = the number of halogens sold
Let +b+ = the number of fluorescents sold
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(1) +a+%2B+b+=+376+
(2) +12.5a+%2B+8b+=+3683+
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(2) +125a+%2B+80b+=+36830+
Multiply both sides of (1) by +80+
and subtract (1) from (2)
(2) +125a+%2B+80b+=+36830+
(1) +-80a+-+80b+=+-30080+
+45a+=+6750+
+a+=+150+
and, since
(1) +a+%2B+b+=+376+
(1) +150+%2B+b+=+376+
(1) +b+=+226+
150 halogens were sold
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check:
(2) +12.5a+%2B+8b+=+3683+
(2) +12.5%2A150+%2B+8%2A226+=+3683+
(2) +1875+%2B+1808+=+3683+
(2) +3683+=+3683+
OK