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Question 119243This question is from textbook California Middle School Mathematics Concepts and Skills Course 2
: Your cousin installs weather stripping for x dollars per foot and insulation for (x + 5) dollars per foot. This week he installed 480 feet of weather and stripping and 2200 feet of insulation. His expenses are 7500$. His profit is 11,540$. Find the prices your cousin charges to install insulation and weather stripping.
This question is from textbook California Middle School Mathematics Concepts and Skills Course 2
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Your cousin installs weather stripping for x dollars per foot and insulation for (x + 5) dollars per foot. This week he installed 480 feet of weather and stripping and 2200 feet of insulation. His expenses are 7500$. His profit is 11,540$. Find the prices your cousin charges to install insulation and weather stripping.
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Income: 480x + 2200(x+5)
Expenses: 7500
Profit: 11,540
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EQUATION:
Income - Expenses = Profit
480x + 2200(x+5) - 7500 = 11540
480x + 2200x + 11000 - 7500 = 11540
2680x + 3500 = 11540
2680x = 8040
x = $3 (price per foot for weather stripping)
x+5 = $8 (price per foot for insulation)
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Cheers,
Stan H.
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