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Sub 505 (Easy)|   Word Problems|                  
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What was the revenue that a theater received from the sale 14 Dec 2012, 05:30
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E
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84% (00:59) correct 16% (00:53) wrong based on 1076 sessions

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What was the revenue that a theater received from the sale of 400 tickets, some of which were sold at the full price and the remainder of which were sold at a reduced price?

(1) The number of tickets sold at the full price was 1/4 of the total number of tickets sold.
(2) The full price of a ticket was $25.
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E
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What was the revenue that a theater received from the sale 14 Dec 2012, 05:36
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What was the revenue that a theater received from the sale of 400 tickets, some of which were sold at the full price and the remainder of which were sold at a reduced 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) The number of tickets sold at the full price was 1/4 of the total number of tickets sold. 100 tickets were sold at a regular price and 300 tickets were sold at a reduced price. We know (i) and (ii) only. Not sufficient.

(2) The full price of a ticket was $25. We know only (iii). Not sufficient.

(1)+(2) We know (i), (ii) and (iii) , but we still don't know the price of a reduced ticket. Not sufficient.

Answer: E.
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What was the revenue that a theater received from the sale 29 Jul 2013, 18:07
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Bunuel
What was the revenue that a theater received from the sale of 400 tickets, some of which were sold at the full price and the remainder of which were sold at a reduced 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) The number of tickets sold at the full price was 1/4 of the total number of tickets sold. 100 tickets were sold at a regular price and 300 tickets were sold at a reduced price. We know (i) and (ii) only. Not sufficient.

(2) The full price of a ticket was $25. We know only (iii). Not sufficient.

(1)+(2) We know (i), (ii) and (iii) , but we still don't know the price of a reduced ticket. Not sufficient.

Answer: E.
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I understand the logic of the question and answer, but I have one question.

The portion I have highlighted in Bold, I have noticed that you use it exceedingly well while answering these types of word problem.

Is there a process that you follow in order to come up with what information is necessary in order to determine sufficiency.

Thanks,
Hunter

Is there a process that you go through to figure out what information has to be present in order to answer
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What was the revenue that a theater received from the sale 10 Jan 2014, 09:37
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Walkabout
What was the revenue that a theater received from the sale of 400 tickets, some of which were sold at the full price and the remainder of which were sold at a reduced price?

(1) The number of tickets sold at the full price was 1/4 of the total number of tickets sold.
(2) The full price of a ticket was $25.
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W are given two equations: [A*x + B*y = Total Revenue], and [x + y = 400]


1) Solves for x and y, but we still have 3 unknowns (A, B, TR). Insufficient
2) Only solves for A, clearly insufficient


1 + 2: We don't know B and we don't have a relation between A and B either, thus we cannot solve for TS. We go with E.
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What was the revenue that a theater received from the sale 24 Jun 2016, 10:47
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Bunuel
What was the revenue that a theater received from the sale of 400 tickets, some of which were sold at the full price and the remainder of which were sold at a reduced 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) The number of tickets sold at the full price was 1/4 of the total number of tickets sold. 100 tickets were sold at a regular price and 300 tickets were sold at a reduced price. We know (i) and (ii) only. Not sufficient.

(2) The full price of a ticket was $25. We know only (iii). Not sufficient.

(1)+(2) We know (i), (ii) and (iii) , but we still don't know the price of a reduced ticket. Not sufficient.

Answer: E.
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Bunuel,

I agree with your explanation. But I feel there is an ambiguity in the question.

In the problem statement it was no where captured total number of tickets are 400 tickets only. It can be T total number of tickets and out of which 400 tickets are sold at Full and Reduced price. And the question wants to know the revenue of only 400 tickets.

Statement 1 says 1/4 of the T tickets are sold at full price. i.e. 1/4 T = Sold full price. T is unknown not sufficient.
Statement 2 itself is not sufficient.

So S1 and S2 together not sufficient. Hence ANS : E.

Is my interpretation of the problem has any issues ? OR is it toooo much of an assumption ?
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What was the revenue that a theater received from the sale 06 Dec 2018, 15:59
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Walkabout
What was the revenue that a theater received from the sale of 400 tickets, some of which were sold at the full price and the remainder of which were sold at a reduced price?

(1) The number of tickets sold at the full price was 1/4 of the total number of tickets sold.
(2) The full price of a ticket was $25.
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Target question: What was the revenue that a theater received from the sale of 400 tickets
Jump straight to . . .

Statements 1 and 2 combined
The combined statements tell us that 100 tickets sold for the full price of $25 each.
The remaining 300 tickets were sold at some reduced price.
Since we don't know the reduced price, there's no way to determine the total revenue from the sale of the 400 tickets
The combined statements are NOT SUFFICIENT

Answer: E

Cheers,
Brent
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What was the revenue that a theater received from the sale 31 Aug 2023, 00:49
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