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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Regards ,