Country Carpets charges $25 per square yard for carpeting and an additional installation fee of $120. City carpets charges $35 per square yard for the same carpeting and an additional installation fee of $80. Write and solve an equation to find the number of square yards of carpeting for which the total cost charged by the two companies will be the same.

Step-by-step explanation:

25x+120=35x+80

25x+120 is Country Carpets equation

35x+80 is City carpets equation

x=4

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    25*x+120-(35*x+80)=0

Pull out like factors :

  -10x + 40  =   -10 • (x - 4)

Solve :    -10   =  0

Solve  :    x-4 = 0

Add  4  to both sides of the equation :

                     x = 4

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