Country carpets charge $22 per square yard for carpeting and an additional installation fee of $100. city carpets charges $25 fee per square yard for the same carpeting and an additional installation fee of $70

X is the number of carpeting done
22x+100=25x+70
22x=25x+70-100
22x=25x-30
22x-25x=-30
-3x=-30
x=-30/-3
x=10

A person would have to do the carpeting 10 times in order to pay the same price for both companies (equal).
I dont know if that's your question but this is what is usually asked when giving a problem of that kind.

What the proper work