Question

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.

Answer 1

old post so answering for points

Explanation:

Answer 2

12.5 square yards.

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.