Question

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Country Carpets charges $22 per square yard for carpeting, and an additional installation fee of $100. City Carpets charges $25 per square yard for the same carpeting, and an additional installation fee of $70. Write an equation and solve to find the number of square yards of carpeting for which the total cost charged by the two companies will be the same.

Answer 1

22x + 100 = 25x + 70, 10 yards

Explanation:

Set the number of square yards of carpeting as x.

So, the cost of Country Carpets is: 22 * x + 100

And the cost of City Carpets is: 25 * x + 70.

In order for the costs to be the , the equations need to be equal.

22x + 100 = 25x + 70

Subtract 22x from both sides.

100 = 3x + 70

Subtract 70 from both sides.

3x = 30

x = 10

10 square yards