Jude D.

asked • 02/20/17

How do I solve this math problem?

Carpet plus installs carpet for $100 plus $8 per square yard of carpet. Carpet World charges $75 for installation and $10 per square yard of carpet. Find the number of square yards of carpet for which the cost including carpet and installation is the same.

I don't understand this at all. Can you show me step-by-step how to work this out so I can finish my homework? Thank you.

1 Expert Answer

By:

Mark M. answered • 02/20/17

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y represents the number of yards
Carpet Plus
100 + 8y
Carpet World
75 + 10y
When they are equal
100 + 8y = 75 + 10y
 
Can you solve for y?
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Jude D.

I though there was a fixed cost a variable cost. The fixed cost being the y-intercept and the variable cost being the slope. Since the fixed cost of Carpet Plus (Company A) is 100 and the variable cost is 8, the lope intercept form equation for Carpet Plus would be 
 
y = 8x + 100
 
Right?
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02/20/17

Jude D.

and*
 
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02/20/17

Jude D.

Ok nevermind now I understand. Can you tell me how to solve for x. I need to know how to "Find the number of square yards of carpet for which the cost including carpet and installation is the same." without a graph.
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02/20/17

Mark M.

100 + 8y = 75 + 10y
25 + 8y = 10y
25 = 2y
12.5 = y
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02/20/17

Jude D.

Thank you so much!
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02/20/17

Mark M.

You are welcome so much!
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02/20/17

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