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# What was the revenue that a theater received from the sale

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What was the revenue that a theater received from the sale [#permalink]

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14 Dec 2012, 04:30
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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.
[Reveal] Spoiler: OA

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Re: What was the revenue that a theater received from the sale [#permalink]

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14 Dec 2012, 04:36
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.

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Re: What was the revenue that a theater received from the sale [#permalink]

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29 Jul 2013, 17:07
Bunuel wrote:
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.

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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Re: What was the revenue that a theater received from the sale [#permalink]

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10 Jan 2014, 08:37
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.

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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Re: What was the revenue that a theater received from the sale [#permalink]

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24 Jun 2016, 09:47
Bunuel wrote:
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.

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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Re: What was the revenue that a theater received from the sale   [#permalink] 24 Jun 2016, 09:47
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