kishokbabu 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?
A) Revenue from ticket sales for this performance totaled $10,500
B) The average (arithmetic mean) price per ticket sold was $21.
Let a = the number of adult tickets sold and c = the number of children's tickets sold.
Thus, a + c = 500.
Statement 1: Total revenue = 10,500.
25a + 15c = 10,500.
Given this equation and the equation in the question stem, we can solve for a.
SUFFICIENT.
Statement 2: Average price per ticket sold = 21.
Average price per ticket = (total revenue)/(total number of tickets sold) = (25a + 15c)/(a+c).
Thus, (25a + 15c)/(a+c) = 21.
Given this equation and the equation in the question stem, we can solve for a.
SUFFICIENT.
The correct answer is
D.
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