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# DS#1

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DS#1 [#permalink]  23 Nov 2011, 16:00
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Is the cost of an Organ more than the cost of a Flute ?

A) Three times the cost of an organ is $15 more than twice the cost of a Flute. B) Five times the cost of an organ is$12 more than six time the cost of a Flute.
[Reveal] Spoiler: OA

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Re: DS#1 [#permalink]  23 Nov 2011, 17:22
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Let me try:
X: Cost of the organ
Y: Cost of the flute

1) 3X - 2Y = 15
Two variables, one equation, not enough.

2) 5X - 6Y = 12
It seems the same as in 1)
But, let's divide the equation by 6.

\frac{5X}{6} - Y = 2

So, if we had x - y, the result would be greater than 2.

What do you think?
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Manager
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Re: DS#1 [#permalink]  23 Nov 2011, 21:02
metallicafan wrote:
Let me try:
X: Cost of the organ
Y: Cost of the flute

1) 3X - 2Y = 15
Two variables, one equation, not enough.

2) 5X - 6Y = 12
It seems the same as in 1)
But, let's divide the equation by 6.

\frac{5X}{6} - Y = 2

So, if we had x - y, the result would be greater than 2.

What do you think?

Thanks.
Wasn't 100% clear before, since 2nd equation too got 2 variables. I took both the equations to solve and ended up in the trap answer C.
Here the logic is 5/6 is less than 1 and still X possess a greater value as the answer is 2. Right?

Thanks metallicafan
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Status: 2000 posts! I don't know whether I should feel great or sad about it! LOL
Joined: 04 Oct 2009
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Location: Peru
Schools: Harvard, Stanford, Wharton, MIT & HKS (Government)
WE 1: Economic research
WE 2: Banking
WE 3: Government: Foreign Trade and SMEs
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Kudos [?]: 145 [1] , given: 108

Re: DS#1 [#permalink]  24 Nov 2011, 06:54
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cleetus wrote:
metallicafan wrote:
Let me try:
X: Cost of the organ
Y: Cost of the flute

1) 3X - 2Y = 15
Two variables, one equation, not enough.

2) 5X - 6Y = 12
It seems the same as in 1)
But, let's divide the equation by 6.

\frac{5X}{6} - Y = 2

So, if we had x - y, the result would be greater than 2.

What do you think?

Thanks.
Wasn't 100% clear before, since 2nd equation too got 2 variables. I took both the equations to solve and ended up in the trap answer C.
Here the logic is 5/6 is less than 1 and still X possess a greater value as the answer is 2. Right?

Thanks metallicafan

Right. Maybe it is not the most elegant solution, but it is what I would do.
I am sure that there is a better way to solve it.
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Manager
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Re: DS#1 [#permalink]  24 Nov 2011, 07:22
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cleetus wrote:
Is the cost of an Organ more than the cost of a Flute ?

A) Three times the cost of an organ is $15 more than twice the cost of a Flute. B) Five times the cost of an organ is$12 more than six time the cost of a Flute.

IMO its B. This is how i solved it...

S1: 3M = 15+2F
=> M = 5+0.66F.. In this equation as we are getting the decreased value in terms of 0.66F. So insufficient.
For example F can be 100 so M = 71 or if F = 12, M becomes 23.

S2: 5M = 12+6F
=> M = 2.4+1.2F. Here for whatever may be the value of the flute is Organ price is always greater as 1.2F will always be greater than F. Sufficient.
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Re: DS#1 [#permalink]  24 Nov 2011, 09:02
Thanks for more clarity +1
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Re: DS#1 [#permalink]  24 Nov 2011, 09:58
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Can't this be solved just by logic,

For 3x-2y = 12 or to have a +ve value, x can be less than y or x can be greater than y...so not sufficient.

For 5x-6y=15 or = to have a +ve value, x should be always greater than y...so sufficient.

Ans = B.

I know this is a crude method, but it helps when v have a crunch of time and in GMAT, v always do..
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Re: DS#1 [#permalink]  24 Nov 2011, 11:05
Yes this can be solved using logic. The above 2 explanation is just to illustrate how the logic works.
There are chances for beginners to go with the trap answer option C.
+1 to you.
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Re: DS#1   [#permalink] 24 Nov 2011, 11:05
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