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theater

by GmatKiss » Tue May 22, 2012 4:00 am
At a certain theater, the cost of each adult's ticket is $5 and the cost of each child's ticket is $2. What was the average cost of all the adult's and children's tickets sold at the theater yesterday?

(1) Yesterday ratio of # of children's ticket sold to the # of adult's ticketr sold was 3 to 2
(2) Yesterday 50 adult's tickets were sold at the theater.

IMO: A
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Source: — Data Sufficiency |

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by Anurag@Gurome » Tue May 22, 2012 4:07 am
GmatKiss wrote:At a certain theater, the cost of each adult's ticket is $5 and the cost of each child's ticket is $2. What was the average cost of all the adult's and children's tickets sold at the theater yesterday?

(1) Yesterday ratio of # of children's ticket sold to the # of adult's ticketr sold was 3 to 2
(2) Yesterday 50 adult's tickets were sold at the theater.

IMO: A

Average cost = {(2 * C) + (5 * A)}/(C + A)

(1) C : A = 3 : 2 implies 3A = 2C
A = 2C/3
Average cost = (2C + 10C/3)/(C + 2C/3) = 16 : 5; SUFFICIENT.

(2) A = 50 but nothing is mentioned about C; NOT sufficient.

The correct answer is A.
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