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.


Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are NOT sufficient.

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考题讲解

题目分析：

设成人票售出x张，则儿童票售出500-x张。

（1）  售票总金额为10500美元，有25x+15*(500-x)=10500，解得x=300张，题目得解。

（2）  平均票价=售票总金额/500=21，所以，售票总金额为21*500=10500，同条件1，可解得x=300。

因此，本题答案为（D），任何一个条件说明均能解题。

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