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What was the total amount of revenue that a theater received

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What was the total amount of revenue that a theater received [#permalink] New post 14 Dec 2012, 08:16
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What was the total amount of revenue that a theater received from the sale of 400 tickets, some of which were sold at x percent of full price and the rest of which were sold at full price?

(1) x = 50
(2) Full-price tickets sold for $20 each.
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Re: What was the total amount of revenue that a theater received [#permalink] New post 14 Dec 2012, 08:22
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What was the total amount of revenue that a theater received from the sale of 400 tickets, some of which were sold at x percent of full price and the rest of which were sold at full price?

To answer the question we should know:
(i) The number of tickets sold at a regular price;
(ii) The number of tickets sold at a reduced price;
(iii) The price of a regular ticket;
(iiii) The price of a reduced ticket.

(1) x = 50. Not sufficient.
(2) Full-price tickets sold for $20 each. We know (iii) only. Not sufficient.

(1)+(2) We only know (iii) and (iiii). Not sufficient.

Answer; E.
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Re: What was the total amount of revenue that a theater received [#permalink] New post 10 Jan 2014, 09:26
Walkabout wrote:
What was the total amount of revenue that a theater received from the sale of 400 tickets, some of which were sold at x percent of full price and the rest of which were sold at full price?

(1) x = 50
(2) Full-price tickets sold for $20 each.



We are given A*(x/100 *y) + B*y = TR, and A + B = 400... Where A, B are the two types of tickets (full vs non-full price), and x is the percent of the full price (y).


1) Only solves for x, we still don't know A, B or y and thus we cannot solve for TR. Insufficient
2) Gives us y, but we don't know the value of x, A or B.. Insufficient


1 + 2: We've solved for the prices, but we don't know how many tickets have been sold for the reduced price.. 399 of the 400 could've been sold for half the price and then we would get a different TR than if 399 were sold at full price.. So, E.
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Re: What was the total amount of revenue that a theater received [#permalink] New post 28 May 2014, 22:27
Bunuel wrote:
What was the total amount of revenue that a theater received from the sale of 400 tickets, some of which were sold at x percent of full price and the rest of which were sold at full price?

To answer the question we should know:
(i) The number of tickets sold at a regular price;
(ii) The number of tickets sold at a reduced price;
(iii) The price of a regular ticket;
(iiii) The price of a reduced ticket.

(1) x = 50. Not sufficient.
(2) Full-price tickets sold for $20 each. We know (iii) only. Not sufficient.

(1)+(2) We only know (iii) and (iiii). Not sufficient.

Answer; E.


Bunuel, I think to answer the question we need to know only either of (i) and (ii) and not both. Thanks!
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Re: What was the total amount of revenue that a theater received   [#permalink] 28 May 2014, 22:27
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