For a certain concert, the price of balcony tickets was exactly half the price of orchestra tickets. The ratio of balcony to orchestra tickets sold was 3:2. What was the price of one orchestra ticket?
(1) the total revenue taken in from tickets of both kinds was $4200
(2) the difference between the number of balcony tickets sold and the number of orchestra tickets sold was 40
Kudos for a correct solution.
Solution
When we talk about revenue - there has to be fixed number in terms of no of unit and price per unit .
given price of orchestra tickets = x
and price of balcony tickets = x/2
ratio of balcony to orchestra tickets sold was 3:2
Required :the price of one orchestra ticket ??
St 1 : total revenue given =4200
Revenue = (x/2) 3 + (x)2
Note ratio of balcony to orchestra tickets sold was 3:2 ...no specific number given hence it is not possible to cal the the price of one orchestra ticket .
St 2: the difference between the number of balcony tickets sold and the number of orchestra tickets sold was 40
3y-2y=40
y =40
But not sufficient to cal the the price of one orchestra ticket . As price not given .
Together 1 and 2
we have both number of ticket and total revenue . Hence we can calculate the price of price of one orchestra ticket .
hence C
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