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Ad libitum [116K]
3 years ago
5

Carpet Plus installs carpet for $100 plus $8 per square yard of carpet. Carpet World charges $75 for installation and $10 per sq

uare yard of carpet. Find the number of square yards of carpet for which the cost including carpet and installation is the same.
Mathematics
1 answer:
AVprozaik [17]3 years ago
4 0

Answer:

12.5 square yards.

Step-by-step explanation:

Let a square yard of carpet = x

The cost of installing a carpet is given by;

100 + 8x

The charge for installation

75 + 10x

The number of square yards of carpet for which the cost including carpet and installation is the same is given by;

100 + 8x = 75 + 10x

100 - 75 = 10x - 8x

25 = 2x

x = 25 / 2

x = 12.5 square yards.

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