Carcass wrote:

A rectangular floor 18 feet by 10 feet is to be completely covered with carpeting that costs X dollars per square yard. In terms of X, how many dollars will the carpeting cost ? (1 yard = 3 feet)

(A) 20x

(B) 28x

(C) 60x

(D) 180x

(E) 540x

The area of the floor is 18 x 10 = 180 ft^2. Since 1 yd = 3 ft, 1 yd^2 = 3^2 ft^2 = 9 ft^2. Thus, the area of the floor is 180/9 = 20 yd^2. Since each square yard costs x dollars in carpeting, the entire floor costs 20x in carpeting.

Answer: A

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