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A local hamburger restaurant is offering a promotion whereby

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dzodzo85
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A local hamburger restaurant is offering a promotion whereby [#permalink] New post   23 Apr 2012, 02:44
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A local hamburger restaurant is offering a promotion whereby the first hamburger is full price, the second is $1 off, the third is $2 off, the fourth is $3 off and the fifth is $4 off. What would be the total price of the hamburgers?

(1) The first two hamburgers cost 50 percent of the total price
(2) The fifth hamburger costs half as much as the first

Could an expert explain this question much better than what was explained at 800 score.com
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Bunuel
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Re: A local hamburger restaurant is offering a promotion whereby [#permalink] New post   23 Apr 2012, 03:07
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dzodzo85 wrote:
A local hamburger restaurant is offering a promotion whereby the first hamburger is full price, the second is $1 off, the third is $2 off, the fourth is $3 off and the fifth is $4 off. What would be the total price of the hamburgers?

(1) The first two hamburgers cost 50 percent of the total price
(2) The fifth hamburger costs half as much as the first

Could an expert explain this question much better than what was explained at 800 score.com


I'm not completely happy with the wording of the question and also don't know how exactly 800score.com solved this problem, but here how it goes.

A local hamburger restaurant is offering a promotion whereby the first hamburger is full price, the second is $1 off, the third is $2 off, the fourth is $3 off and the fifth is $4 off. What would be the total price of the hamburgers?

I guess the question asks about the total price of 5 hamburgers. Say the first hamburger costs $x then the total price of 5 hamburgers would be \(x+(x-1)+(x-2)+(x-3)+(x-4)=5x-10\)

(1) The first two hamburgers cost 50 percent of the total price --> \(x+(x-1)=\frac{1}{2}(5x-10)\) --> \(x=8\) --> \(5x-10=30\). Sufficient.

(2) The fifth hamburger costs half as much as the first --> \(x-4=\frac{1}{2}x\) --> \(x=8\) --> \(5x-10=30\). Sufficient.

Answer: D.

Hope it's clear.
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Re: A local hamburger restaurant is offering a promotion whereby [#permalink] New post   23 Apr 2012, 04:28
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Bunuel wrote:
dzodzo85 wrote:
A local hamburger restaurant is offering a promotion whereby the first hamburger is full price, the second is $1 off, the third is $2 off, the fourth is $3 off and the fifth is $4 off. What would be the total price of the hamburgers?

(1) The first two hamburgers cost 50 percent of the total price
(2) The fifth hamburger costs half as much as the first

Could an expert explain this question much better than what was explained at 800 score.com


I'm not completely happy with the wording of the question and also don't know how exactly 800score.com solved this problem, but here how it goes.

A local hamburger restaurant is offering a promotion whereby the first hamburger is full price, the second is $1 off, the third is $2 off, the fourth is $3 off and the fifth is $4 off. What would be the total price of the hamburgers?

I guess the question asks about the total price of 5 hamburgers. Say the first hamburger costs $x then the total price of 5 hamburgers would be \(x+(x-1)+(x-2)+(x-3)+(x-4)=5x-10\)

(1) The first two hamburgers cost 50 percent of the total price --> \(x+(x-1)=\frac{1}{2}(5x-10)\) --> \(x=8\) --> \(5x-10=30\). Sufficient.

(2) The fifth hamburger costs half as much as the first --> \(x-4=\frac{1}{2}x\) --> \(x=8\) --> \(5x-10=30\). Sufficient.

Answer: D.

Hope it's clear.


Bunuel, it is now crystal clear, but I want to know your reason for not being happy about the way the question is worded.
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Re: A local hamburger restaurant is offering a promotion whereby [#permalink] New post   23 Apr 2012, 04:32
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dzodzo85 wrote:
Bunuel wrote:
dzodzo85 wrote:
A local hamburger restaurant is offering a promotion whereby the first hamburger is full price, the second is $1 off, the third is $2 off, the fourth is $3 off and the fifth is $4 off. What would be the total price of the hamburgers?

(1) The first two hamburgers cost 50 percent of the total price
(2) The fifth hamburger costs half as much as the first

Could an expert explain this question much better than what was explained at 800 score.com


I'm not completely happy with the wording of the question and also don't know how exactly 800score.com solved this problem, but here how it goes.

A local hamburger restaurant is offering a promotion whereby the first hamburger is full price, the second is $1 off, the third is $2 off, the fourth is $3 off and the fifth is $4 off. What would be the total price of the hamburgers?

I guess the question asks about the total price of 5 hamburgers. Say the first hamburger costs $x then the total price of 5 hamburgers would be \(x+(x-1)+(x-2)+(x-3)+(x-4)=5x-10\)

(1) The first two hamburgers cost 50 percent of the total price --> \(x+(x-1)=\frac{1}{2}(5x-10)\) --> \(x=8\) --> \(5x-10=30\). Sufficient.

(2) The fifth hamburger costs half as much as the first --> \(x-4=\frac{1}{2}x\) --> \(x=8\) --> \(5x-10=30\). Sufficient.

Answer: D.

Hope it's clear.


Bunuel, it is now crystal clear, but I want to know your reason for not being happy about the way the question is worded.


A local hamburger restaurant is offering a promotion whereby the first hamburger is full price, the second is $1 off, the third is $2 off, the fourth is $3 off and the fifth is $4 off. What would be the total price of the hamburgers?

It would be better if mentioned that we are asked to find the price of 5 hamburgers.
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Re: A local hamburger restaurant is offering a promotion whereby [#permalink] New post   23 Apr 2012, 04:36
Ohh I see and I understand what you mean, especially with what is meant by "full price" for the first hamburger. Thanks for letting me see how the question could be somewhat poorly written. I may come up with more 800score questions, so please bear with me. Thanks for your patience once again in advance.
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Re: A local hamburger restaurant is offering a promotion whereby [#permalink] New post   20 May 2012, 18:18
"A local hamburger restaurant is offering a promotion whereby the first hamburger is full price, the second is $1 off,"

Not to mention "The first hamburger is half price, ie, P/2". The second is a dollar off, ie P-1. It didn't mention that all the hamburgers were half price, just the first. Not a fan of this question.
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Re: A local hamburger restaurant is offering a promotion whereby [#permalink] New post   29 Sep 2018, 06:00
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Re: A local hamburger restaurant is offering a promotion whereby [#permalink]
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