SOLUTION: Ruth is having hardwood floors installed in her living room. The cost for the material is $2840 plus an installation charge of $1.90 per square foot. If the total cost for the mate

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Question 631365: Ruth is having hardwood floors installed in her living room. The cost for the material is $2840 plus an installation charge of $1.90 per square foot. If the total cost for the material plus installation is $5120, determine the area of her living room.
Found 2 solutions by 303795, tutor_paul:
Answer by 303795(602) About Me  (Show Source):
You can put this solution on YOUR website!
The total cost is $5120. Of this amount the material cost is $2840. This means that the installation cost will be $5120 - $2840 = $2280.
This $2280 represents the total floor area x $1.90 per square foot.
ie total floor area = $2280 / $1.90
=1200 square feet

Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
Define the following variables:
Total Cost T=5120
Total Installation Cost = I
Materials Cost M=2840
Area of Living Room = A
Installation Cost/ft^2 C=1.9
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The total cost for the job (T) can be expressed by the following equation:
T=I%2BM
5120=I%2B2840
I=2280
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Now that you know the total installation cost, you can apply the following formula to determine the area of the living room (A).
I=CA

Substitute previous found value for I:
2280=1.9A
A=2280%2F1.9
highlight%28A=1200+ft%5E2%29
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Good Luck,
tutor_paul@yahoo.com