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# A rectangular-shaped carpet remnant that measures x feet by

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Manager
Joined: 16 Feb 2012
Posts: 213
Concentration: Finance, Economics
A rectangular-shaped carpet remnant that measures x feet by [#permalink]

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28 Jun 2012, 14:09
2
KUDOS
5
This post was
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Difficulty:

35% (medium)

Question Stats:

71% (01:19) correct 29% (01:32) wrong based on 306 sessions

A rectangular-shaped carpet remnant that measures x feet 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/9 D. xy/50 E. 450/(xy) [Reveal] Spoiler: OA _________________ Kudos if you like the post! Failing to plan is planning to fail. Intern Joined: 14 Apr 2012 Posts: 11 Re: A rectangular-shaped carpet remnant that measures [#permalink] ### Show Tags 28 Jun 2012, 16:37 xy sq ft =$50
1 sq ft = $50/xy multiplying by 9 on both side 9 sq ft =$450/xy
or 1 sq yard = $450/xy Hence E. Manager Status: Rising GMAT Star Joined: 05 Jun 2012 Posts: 131 Location: Philippines Concentration: General Management, Finance GPA: 3.22 WE: Corporate Finance (Consulting) Re: A rectangular-shaped carpet remnant that measures [#permalink] ### Show Tags 28 Jun 2012, 17:41 3 This post received KUDOS Stiv wrote: A rectangular-shaped carpet remnant that measures x feet 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)
1)$$50xy$$
2) $$450xy$$
3) $$\frac {xy}{9}$$
4)$$\frac {xy}{50}$$
5) $$\frac {450}{xy}$$

x feet
y feet
total price = $50 find: cost of carpet ($/yd^2)

now the trap here would be for you to convert x feet and y feet using the given conversion in the question.

see, the conversion states that 9 square feet = 1 yard -->> if you analyze this statement it means square feet! SQUARE! this means that two units have already been multiplied (hope you're catching my drift)

this means that we should multiply x by y first, we have xy (area in square feet; this makes the conversion consistent)

(xy square feet) x (1 square yard)/(9 square feet) = xy square yard / 9 -->> see we want to cancel out square feet in numerator and square feet in denominator

now we want to get the cost of carpet per square yard, this means we just divide the total cost by what we got earlier; we have..

50/(xy/9) = 50 * 9 / xy = 450/xy

I think the main takeaway here is the trap that I said earlier. You have to think like the test maker. That being said, this question is very GMAT-esque, and I'm not surprised since the source is GMATPrep.

Anyway, can I get a kudos?

Thanks!
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Joined: 16 Oct 2010
Posts: 7934
Location: Pune, India
Re: A rectangular-shaped carpet remnant that measures [#permalink]

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28 Jun 2012, 22:58
1
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Expert's post
Stiv wrote:
A rectangular-shaped carpet remnant that measures x feet 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) 1)$$50xy$$ 2) $$450xy$$ 3) $$\frac {xy}{9}$$ 4)$$\frac {xy}{50}$$ 5) $$\frac {450}{xy}$$ Area of the carpet = xy square feet Cost per square foot =$50/xy square feet

Cost per square yard = $50/(xy/9) =$450/xy square yard

To learn how to quickly convert units, check: http://www.veritasprep.com/blog/2011/01 ... nd-ounces/
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Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Intern Joined: 11 Oct 2016 Posts: 1 Re: A rectangular-shaped carpet remnant that measures x feet by [#permalink] ### Show Tags 13 Oct 2016, 02:22 Could you elaborate the cost? Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 7934 Location: Pune, India Re: A rectangular-shaped carpet remnant that measures x feet by [#permalink] ### Show Tags 13 Oct 2016, 04:08 LavetaLocklin wrote: Could you elaborate the cost? Cost =$50

Area of rug = x feet * y feet = xy square feet

We need cost in dollars per square yard

We are given that 9 square feet = 1 square yard
1 square foot = 1/9 square yard
So xy square feet = (1/9)*xy square yard = xy/9 square yard

Cost in dollars/square yard = $50 / (xy/9) square yard = (450/xy) dollars per square yard _________________ Karishma Veritas Prep | GMAT Instructor My Blog Get started with Veritas Prep GMAT On Demand for$199

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Re: A rectangular-shaped carpet remnant that measures x feet by [#permalink]

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14 Oct 2016, 04:45
1
KUDOS
Expert's post
Stiv wrote:
A rectangular-shaped carpet remnant that measures x feet 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/9 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

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Re: A rectangular-shaped carpet remnant that measures x feet by [#permalink]

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13 Jan 2018, 22:23
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Re: A rectangular-shaped carpet remnant that measures x feet by   [#permalink] 13 Jan 2018, 22:23
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