SOLUTION: A contractor is installing some special light bulbs for two floors in a building. For the first floor, she purchased 5 natural light bulbs and 2 ceiling bulbs at a cost of $23. For

Algebra ->  Expressions-with-variables -> SOLUTION: A contractor is installing some special light bulbs for two floors in a building. For the first floor, she purchased 5 natural light bulbs and 2 ceiling bulbs at a cost of $23. For      Log On


   



Question 1006263: A contractor is installing some special light bulbs for two floors in a building. For the first floor, she purchased 5 natural light bulbs and 2 ceiling bulbs at a cost of $23. For the second floor, she purchased 3 natural light bulbs and 4 ceiling bulbs at a cost of $25. How much does each type of bulb cost?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = cost of 1 natural bulb
Let +b+ = cost of 1 ceiling bulb
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(1) +5a+%2B+2b+=+23+
(2) +3a+%2B+4b+=+25+
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Multiply both sides of (1) by +2+
and subtract (2) from (1)
(1) +10a+%2B+4b+=+46+
(2) +-3a+-+4b+=+-+25+
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+7a+=+21+
+a+=+3+
and
(1) +5%2A3+%2B+2b+=+23+
(1) +15+%2B+2b+=+23+
(1) +2b+=+8+
(1) +b+=+4+
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A natural bulb costs $3
A ceiling bulb costs $4