GMAT PAPER TEST PS

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smclean23: Master | Next Rank: 500 Posts; Posts: 172; Joined: Mon Jun 23, 2008 12:00 pmFollowed by: 1 member; Thanked: 3 times

by smclean23 » Mon Dec 29, 2008 6:19 pm

A rectangular-shaped carpet remnant that measures x by y feet is priced at $50. What is the cost of the carpet, in dollars per square yard? ( 9 square feet = 1 square yard)

A. 50xy
B. 450xy
C. xy/0
D. xy/50
E. 450/xy

OA is E.....LOGIC?

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Source: Beat The GMAT — Problem Solving | Mon Dec 29, 2008 6:19 pm

Sachindh: Senior | Next Rank: 100 Posts; Posts: 37; Joined: Wed Sep 17, 2008 8:17 pm; Location: India; Thanked: 4 times

Re: GMAT PAPER TEST PS

by Sachindh » Mon Dec 29, 2008 7:01 pm

smclean23 wrote:A rectangular-shaped carpet remnant that measures x by y feet is priced at $50. What is the cost of the carpet, in dollars per square yard? ( 9 square feet = 1 square yard)

A. 50xy
B. 450xy
C. xy/0
D. xy/50
E. 450/xy

OA is E.....LOGIC?

As per question - cost of x by y rectangle carpet = $50
therefore cost of 1 by 1 rectangle carpet = 50/xy ($/sq feet) - eq (1)
now 9 square feet = 1 yard
therefore 1 square feet = 1/9 sq yards.

replace the valus of square feet to sq yards in eq (1)
cost = 50/(xy/9) or 50 * (1/(xy/9)) => 50*9/xy => 450/xy

Hence E

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8137; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Tue Dec 05, 2017 5:14 pm

smclean23 wrote:A rectangular-shaped carpet remnant that measures x by y feet is priced at $50. What is the cost of the carpet, in dollars per square yard? ( 9 square feet = 1 square yard)

A. 50xy
B. 450xy
C. xy/0
D. xy/50
E. 450/xy

We are given that a rectangular-shaped carpet remnant that measures x feet by y feet is priced at $50. We need to determine the cost, in dollars per square yard.

The area of the carpet is xy square feet and we have to convert that value to square yards.

(xy square feet) x (1 square yard/9 square feet) = xy/9 square yards

The cost of the carpet, in dollars per square yard, is 50/(xy/9) = 450/xy

Answer: E

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