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During a sale, for each shirt that Mark purchased at the regular price

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sondenso
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During a sale, for each shirt that Mark purchased at the regular price [#permalink] New post   09 Jun 2008, 00:59
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During a sale, for each shirt that Mark purchased at the regular price, he also purchased a shirt at half the regular price. How many shirts did Mark purchase during the sale?

(1) The regular price of each of the shirts that Mark purchased during the sale was $21.50.
(2) The total of the prices for all the shirts that Mark purchased during the sale was $129.00.
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prasannar
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Re: During a sale, for each shirt that Mark purchased at the regular price [#permalink] New post   09 Jun 2008, 01:54
C for me

How many shirts did Mark purchase during the sale?


We need the total amount/ unit price= #

Stmt-> (1) The regular price of each of the shirts that Mark purchased during the sale was $21.50. Insuff

(2) The total of the prices for all the shirts that Mark purchased during the sale was $129.00.
Stmt-2 insufficient since we have two unknowns

combining 1&2 we can solve the problem thus C
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Re: During a sale, for each shirt that Mark purchased at the regular price [#permalink] New post   09 Jun 2008, 02:11
I think C is the only straight forward answer here
what is the OA for this one
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Re: During a sale, for each shirt that Mark purchased at the regular price [#permalink] New post   09 Jun 2008, 02:22
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vdhawan1 wrote:
I think C is the only straight forward answer here
what is the OA for this one


prasannar wrote:
C for me

How many shirts did Mark purchase during the sale?


We need the total amount/ unit price= #

Stmt-> (1) The regular price of each of the shirts that Mark purchased during the sale was $21.50. Insuff

(2) The total of the prices for all the shirts that Mark purchased during the sale was $129.00.
Stmt-2 insufficient since we have two unknowns

combining 1&2 we can solve the problem thus C


With your general reasoning and with my work already overload :-D , I still not figure out the OA!

Here is my reasoning:

1. x is number of shirts she buy with regular price
2. y is number of shirts she buy with 1/2 regular price.

Question asks x+y=?

So, from statement1: x*21.5 +y*21.5/2 =...? so not suff
from the statement2: x*21.5 +y*21.5/2 = 129, so stil not suff

Comebine state 1 and 2 still not help! so E, help me out what wrong with my reasoning! Thanks!
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Re: During a sale, for each shirt that Mark purchased at the regular price [#permalink] New post   09 Jun 2008, 02:29
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Keep in mind that x=y
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Re: During a sale, for each shirt that Mark purchased at the regular price [#permalink] New post   09 Jun 2008, 03:14
kevincan wrote:
Keep in mind that x=y


sondenso wrote:
each shirt that Mark purchased at the regular price, he also purchased a shirt at half the regular price.


Why do you think that x=y?
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Re: During a sale, for each shirt that Mark purchased at the regular price [#permalink] New post   09 Jun 2008, 04:18
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regular price, he also purchased a shirt at half the regular price
assuming that Mark purchased a shirt for $X he also purchased a shirt for $X/2 if the regular price means different prices then it has to be E.
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Re: During a sale, for each shirt that Mark purchased at the regular price [#permalink] New post   09 Jun 2008, 08:56
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Answer should be C

p = price of shirt
x = quantity of shirt purchased
we know that for each reg price shirt purchased, there was a purchase of one half priced shirt

px+ 1/2px = 129

px(1+1/2) = 129
px = 86

we know p=21.50

we can solve for x
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Re: During a sale, for each shirt that Mark purchased at the regular price [#permalink] New post   09 Jun 2008, 09:19
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I agree that C is the answer.

From (1) we know that the price of 1 shirt at full price is $21.50.

From the question stem, we know that with each purchase of 1 full price shirt, there is an additional purchase of a half-priced shirt at $10.75.

From (2) we know that the total amount spent on shirts was $129.00.

Set-up:

Note: x is the total number of shirts purchased at a given price point

21.5x +10.75x = 129
32.25x = 129
x = 4

So we know that 4 shirts were purchased at each of the two price points, resulting in the total purchase of 8 shirts.
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Re: During a sale, for each shirt that Mark purchased at the regular price [#permalink] New post   09 Jun 2008, 09:21
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I came up with C for the answer too, but also see the point made by a previous post.

The question does not say the 1/2 price shirt is of the same value. If it was a typical sale where you buy 1 shirt at regular price, get one of equal or lesser value for 1/2 price, then you don't know for sure that every 1/2 price shirt was the same original price as the shirt bought at full price.
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Re: During a sale, for each shirt that Mark purchased at the regular price [#permalink] New post   09 Jun 2008, 10:45
Doesn't (1) say so?
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Re: During a sale, for each shirt that Mark purchased at the regular price [#permalink] New post   09 Jun 2008, 11:07
kevincan,

You're right, 1 does say that the regular price for each shirt purchased was $21.50. In order to figure out the number of shirts purchased, we need the amount each shirt sold for originally (provided), the ratio of regular price to on-sale shirts (provided) and the total amount (not provided).

We cannot approach #2 with the knowledge of #1 until we're trying to determine if both together work. #2 tells us the total amount, but nothing as to the regular price for each shirt.

When combining the information, then we get C for the reason(s) you mentioned.

kevincan wrote:
Doesn't (1) say so?
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Re: During a sale, for each shirt that Mark purchased at the regular price [#permalink] New post   25 Feb 2013, 04:06
What's the official answer for this question?
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Re: During a sale, for each shirt that Mark purchased at the regular price [#permalink] New post   25 Feb 2013, 20:47
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fozzzy wrote:
What's the official answer for this question?


The answer here is (C) and not (E).

(1) The regular price of each of the shirts that Mark purchased during the sale was $21.50.

Statement 1 clearly tells you that the regular price of every shirt that he purchased (whether he purchased it at regular price or half price) is $21.50. There is no reason to assume that the regular price of shirts he purchased at half price might be different. The statement tells you that regular price of every shirt he took with him is $21.50.
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Re: During a sale, for each shirt that Mark purchased at the regular price [#permalink] New post   11 Apr 2023, 08:23
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