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# For a recent play performance, the ticket prices were \$25

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Manager
Joined: 03 Oct 2008
Posts: 61
For a recent play performance, the ticket prices were \$25  [#permalink]

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06 Oct 2008, 13:50
For a recent play performance, the ticket prices were \$25 per adult and \$15 per child. A total of 500 tickets were sold for the performance. How many of the tickets sold were for adults?
(1) Revenue from ticket sales for this performance totaled \$10,500.
(2) The average (arithmetic mean) price per ticket sold was \$21.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

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Director
Joined: 12 Jul 2008
Posts: 511
Schools: Wharton

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06 Oct 2008, 13:54
albany09 wrote:
For a recent play performance, the ticket prices were \$25 per adult and \$15 per child. A total of 500 tickets were sold for the performance. How many of the tickets sold were for adults?
(1) Revenue from ticket sales for this performance totaled \$10,500.
(2) The average (arithmetic mean) price per ticket sold was \$21.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

D

(1) Sufficient

25*A + 15*C = 10500
A + C = 500

25*A + 15*(500 - A) = 10500
25A + 7500 - 15A = 10500
10A = 3000
A = 300
C = 200

(2) Sufficient

(25A + 15C)/500 = 21
25A + 15C = 10500
A + C = 500

Continue to solve as in (1)

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: math &nbs [#permalink] 06 Oct 2008, 13:54
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# For a recent play performance, the ticket prices were \$25

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