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A company bought some desks at a price of $150 each and some chairs at SORT BY: Tags: Show Tags Hide Tags Intern Joined: 12 Aug 2011 Posts: 3 Own Kudos [?]: 31 [22] Given Kudos: 1 Most Helpful Reply Math Expert Joined: 02 Sep 2009 Posts: 95503 Own Kudos [?]: 658470 [6] Given Kudos: 87257 General Discussion CEO Joined: 24 Jul 2011 Status: World Rank #4 MBA Admissions Consultant Posts: 3191 Own Kudos [?]: 1609 [0] Given Kudos: 33 GMAT 1: 780 Q51 V48 GRE 1: Q170 V170 Intern Joined: 10 Apr 2008 Posts: 23 Own Kudos [?]: 17 [0] Given Kudos: 110 Location: India GMAT 1: 560 Q39 V28 WE:Consulting (Computer Software) Re: A company bought some desks at a price of$150 each and some chairs at [#permalink]
Hi Bunuel,

Can you please explain what is wrong in having following generalization?

If initial ratio of price of desk:chair is 3:1 then total money spent (in case of option A it is 5000) must also be divided in the same ratio. Therefore ratio of cost of desk: cost of chair is 3750:1250 => 3:1. If each chair cost $50 then total chairs bought must be 1250/50 => 25. Isn't this information enough to answer the question? Awaiting your reply. AMeya Intern Joined: 30 Mar 2012 Posts: 25 Own Kudos [?]: 2 [0] Given Kudos: 11 Re: A company bought some desks at a price of$150 each and some chairs at [#permalink]
mokap25
Can some experts explain a systematic approach for solving optimization type problems, I am usually lost as to where to start on such problems.

Well this is a Yes/No DS question, and hence one should start solving the question to prove that both the answers are true i.e. "Yes" and a "No" and hence narrowing down to the solution
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Re: A company bought some desks at a price of $150 each and some chairs at [#permalink] 1 Kudos Expert Reply Ameya85 Hi Bunuel, Can you please explain what is wrong in having following generalization? If initial ratio of price of desk:chair is 3:1 then total money spent (in case of option A it is 5000) must also be divided in the same ratio. Therefore ratio of cost of desk: cost of chair is 3750:1250 => 3:1. If each chair cost$50 then total chairs bought must be 1250/50 => 25.

Isn't this information enough to answer the question?

AMeya

The red part is not correct. The fact that the prices are in ratio 3 to 1, does not necessarily mean that the total amount spent would also be in the same ratio. For example consider $$d=20$$ and $$c=40$$ --> ratio of the amounts spent would be (20*150)/(40*50)=3/2.

Hope it's clear.
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WE:Consulting (Computer Software)
Re: A company bought some desks at a price of $150 each and some chairs at [#permalink] Bunuel The red part is not correct. The fact that the prices are in ratio 3 to 1, does not necessarily mean that the total amount spent would also be in the same ratio. For example consider $$d=20$$ and $$c=40$$ --> ratio of the amounts spent would be (20*150)/(40*50)=3/2. Hope it's clear. Thanks Bunuel for clarifying my doubt. Is there any specific case in which this generalization can be true? Or it is always incorrect to assume this? Ameya BSchool Moderator Joined: 08 Dec 2013 Posts: 685 Own Kudos [?]: 528 [0] Given Kudos: 227 Location: India Concentration: Nonprofit, Sustainability Schools: ISB '23 GMAT 1: 630 Q47 V30 WE:Operations (Non-Profit and Government) Re: A company bought some desks at a price of$150 each and some chairs at [#permalink]
mokap25
A company bought some desks at a price of $150 each and some chairs at a price of$50 each. Did the company buy more than 40 chairs?

(1) The total price of the desk and chairs is 5,000
(2) The company bought fewer than 20 desks

Can some experts explain a systematic approach for solving optimization type problems, I am usually lost as to where to start on such problems.

Please explain your approach by helping solve this problem from GMAtprep software. As many creative approaches as possible.

Kaps

let there be d desks and c chairs.

Statement 1. d150 + c50= 5000
3d + c = 100

(d,c) can be (10,70) as well as (30,10) so we can't say c>40.

Combine 1+2

we know that d<20, number of chairs can't be -ve so let's assume 19
19*3 + c= 100,
c= 100 - 57 = 43, so yes we can answer the question using statement 1 and 2 together.
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Re: A company bought some desks at a price of $150 each and some chairs at [#permalink] Expert Reply ­40 chairs is 2000 bucks. 1 and 2 alone are clearly insufficient. Combined they've gotta spend more than 2 grand on chairs: Re: A company bought some desks at a price of$150 each and some chairs at [#permalink]
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