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The price of a concert ticket is greater than $15.

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Director
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The price of a concert ticket is greater than $15. [#permalink] New post 01 Oct 2017, 03:31
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The price of a concert ticket is greater than $15.

Quantity A
Quantity B
$10 less than two-thirds the ticket price
One fifth of the amount that is $10 less than 3 times the ticket price


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.



[Reveal] Spoiler:
D
[Reveal] Spoiler: OA

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Last edited by pranab01 on 02 Oct 2017, 05:52, edited 2 times in total.
Renamed the topic and edited the question.
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Director
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Re: The price of a concert ticket is greater than $15. [#permalink] New post 01 Oct 2017, 07:36
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If you take the minimal price the ticket can have, i.e. 15.01$, quantity A is (2/3)*15.01 - 10 = 0.006$, while quantity B is [(3*15.01)-10]/5 = 7.006. Thus, quantity B is greater.

Then, if you take a ticket costing 1000$, quantity A becomes (2/3)*1000 - 10 = 656.67$, while quantity B is [(3*1000)-10]/5 = 598$. Thus, quantity A is greater.

Then the answer is D!
Re: The price of a concert ticket is greater than $15.   [#permalink] 01 Oct 2017, 07:36
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The price of a concert ticket is greater than $15.

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