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Answer:
The total cost charged by the two companies will be the same for 10 square yards of carpeting .
Step-by-step explanation:
Let us assume that the number of square yards for carpeting used be x.
Let us assume that the total cost of the charged by the companies be y.
As given
Country Carpets charges $22 per square yard for carpeting, and an additional installation fee of $100.
Than the equation becomes
y = 22x + 100
As given
City Carpets charges $25 per square yard for the same carpeting, and an additional installation fee of $70.
Than the equation becomes
y = 25x + 70
Than the two equations are
y = 22x + 100 and y = 25x + 70
Than compare the two equations are
22x + 100 = 25x + 70
25x - 22x = 100 - 70
3x = 30
x = 10 square yards .
Therefore the total cost charged by the two companies will be the same for 10 square yards of carpeting .