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# Princeton Review: Challenge Question

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Joined: 08 Sep 2018
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Princeton Review: Challenge Question  [#permalink]

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08 Sep 2018, 17:40
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Hello there! I recently purchased the Princeton Review book for review, and I've come across a few Challenge Questions that are, well, challenging!

Question:
A certain game requires players to collect both blue tokens, which are worth b points each, and red tokens, which are worth r points each. If p percent of player A's points are from blue tokens and q percent of player A's token are red, which of the following is an expression for the value of p, in terms of b, r, and q?

A) 100bq / (bq + 100r - qr)

B) (10,000b - 100bq) / (100b - bq + qr )

C) (bq + 100r - qr) / 100 bq

D) (100b - bq) / (100r - 100bq - qr)

E) (100b - bq + qr) / (10,000b - 100bq)

Answer: The answer is B. I ended up plugging in values, but I guess incorrectly, and returned with the answer of "A". I would really appreciate any formula help you can provide to get to the correct answer choice. Thanks!!
GMATH Teacher
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Joined: 12 Oct 2010
Posts: 936
Re: Princeton Review: Challenge Question  [#permalink]

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08 Sep 2018, 21:10
labrynth79 wrote:
A certain game requires players to collect both blue tokens, which are worth b points each, and red tokens, which are worth r points each. If p percent of player A's points are from blue tokens and q percent of player A's token are red, which of the following is an expression for the value of p, in terms of b, r, and q?

A) 100bq / (bq + 100r - qr)

B) (10,000b - 100bq) / (100b - bq + qr )

C) (bq + 100r - qr) / 100 bq

D) (100b - bq) / (100r - 100bq - qr)

E) (100b - bq + qr) / (10,000b - 100bq)

Answer: The answer is B. I ended up plugging in values, but I guess incorrectly, and returned with the answer of "A". I would really appreciate any formula help you can provide to get to the correct answer choice. Thanks!!

Hi labrynth79, welcome to the GMAT Club.

First of all, this is absolutely not GMAT-like, therefore I would avoid studying "things" like that...

Second: I believe there is something missing in the question stem... no info about quantities/percentages of blue and red tokens, for instance...

Anyway, let´s say player A has all the tokens available in the game, in the following particular case:

> 5 blue tokens, each one worth 2 points.
> 30 red tokens, each one worth 3 points.

If I understood the question stem correctly, we would have
b=2, r=3, q=90 and
p=10 (10% of 100 points is the 10 points related to the blue tokens) , our "target"

Checking the alternatives, substituting b=2 , r=3 and q=90, NONE was equal to 10...

Please make the substitutions and check it yourself... I guess the problem is simply wrong.

Regards,
fskilnik.
_________________
Fabio Skilnik :: GMATH method creator (Math for the GMAT)
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Re: Princeton Review: Challenge Question  [#permalink]

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08 Sep 2018, 21:18
which edition of princeton review book did you refer ?
Re: Princeton Review: Challenge Question   [#permalink] 08 Sep 2018, 21:18
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# Princeton Review: Challenge Question

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