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# If s shirts can be purchased for d dollars, how many shirts can be pur

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Math Expert
Joined: 02 Sep 2009
Posts: 64152
If s shirts can be purchased for d dollars, how many shirts can be pur  [#permalink]

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01 Dec 2014, 04:24
00:00

Difficulty:

15% (low)

Question Stats:

83% (00:51) correct 17% (00:28) wrong based on 78 sessions

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Tough and Tricky questions: Word Problems.

If s shirts can be purchased for d dollars, how many shirts can be purchased for t dollars?

A) sdt
B) ts/d
C) td/s
D) d/(st)
E) s/(dt)

Kudos for a correct solution.

Source: Chili Hot GMAT

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Concentration: Finance, Economics
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Re: If s shirts can be purchased for d dollars, how many shirts can be pur  [#permalink]

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01 Dec 2014, 05:36
1
If s shirts can be purchased for d dollars, how many shirts can be purchased for t dollars?

ts/d

Ans = B
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Re: If s shirts can be purchased for d dollars, how many shirts can be pur  [#permalink]

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01 Dec 2014, 17:23
1
If s shirts are bought for d dollars, the rate is s shirts/d dollars. If we multiple this by t dollars, this crosses out the dollars on top and bottom and we're left with just shirts as the unit.

To do this, we simply compute s/d*t or Choice B (which is the slightly rearranged ts/d).
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Re: If s shirts can be purchased for d dollars, how many shirts can be pur  [#permalink]

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01 Dec 2014, 20:37
1
How many shirts we can buy in one dollar = s/d.
Then for t dollars we can buy t* s/d = ts/d.
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Re: If s shirts can be purchased for d dollars, how many shirts can be pur  [#permalink]

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01 Dec 2014, 20:54
1
My take -

For d dollars - S shirts
For 1 dollar - S/d shirts
For t dollars - St/d shirts

Option B.
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Re: If s shirts can be purchased for d dollars, how many shirts can be pur  [#permalink]

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01 Dec 2014, 21:54
2

Cost of 1 shirt $$= \frac{d}{s}$$

Shirts purchased in t dollars $$= \frac{t}{(\frac{d}{s})} = \frac{ts}{d}$$
Math Expert
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Posts: 64152
Re: If s shirts can be purchased for d dollars, how many shirts can be pur  [#permalink]

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02 Dec 2014, 07:53
Bunuel wrote:

Tough and Tricky questions: Word Problems.

If s shirts can be purchased for d dollars, how many shirts can be purchased for t dollars?

A) sdt
B) ts/d
C) td/s
D) d/(st)
E) s/(dt)

Kudos for a correct solution.

Source: Chili Hot GMAT

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Joined: 22 May 2016
Posts: 3848
If s shirts can be purchased for d dollars, how many shirts can be pur  [#permalink]

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02 Jul 2017, 16:01
1
Bunuel wrote:

Tough and Tricky questions: Word Problems.

If s shirts can be purchased for d dollars, how many shirts can be purchased for t dollars?

A) sdt
B) ts/d
C) td/s
D) d/(st)
E) s/(dt)

Kudos for a correct solution.

Source: Chili Hot GMAT

Let s shirts = 2
Let d dollars = 4
Let t dollars = 6

If 2 shirts can be purchased for 4 dollars, each shirt costs 2 dollars. For 6 dollars, you get 3 shirts. Plug in 2, 4, and 6 for each variable into the answer choices. The one that yields 3 is correct.

Eliminate A, D, and E quickly. A is much too big. D and E are fractions (quick peek at denominators tells you that).

Down to Answers B and C.

Answer B: ts/d = 12/4 = 3. Correct.

Answer C: td/s = 24/2 = 12. Incorrect.

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If s shirts can be purchased for d dollars, how many shirts can be pur   [#permalink] 02 Jul 2017, 16:01