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At a particular movie, what was the ratio of the number of people who

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Bunuel
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At a particular movie, what was the ratio of the number of people who [#permalink] New post   24 Jan 2021, 01:02
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At a particular movie, what was the ratio of the number of people who watched the entire movie to the number of people who left the movie before it ended? (Assume all audience members were in their seats by the start of the movie.

(1) At the beginning of the movie, with the entire audience seated, the ratio of the number of seats filled to the number of seats not filled was 5 to 6.
(2) At the end of the movie, the ratio of the number of seats filled to seats not filled was 1 to 3.
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yoannnesme
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Re: At a particular movie, what was the ratio of the number of people who [#permalink] New post   02 Feb 2021, 05:19
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With ratios, it's useful to pick numbers. In this example, it is clear that each statement by itself is not sufficient, so let's take them together.

1) Ratio of filled to unfilled is 5:6. This means the number of total seats is a multiple of 11.

2) Ratio of filled to unfilled is 1:3. This means the number of total seats is also a multiple of 4.

Let's then pick a number for the total number of seats that is a multiple of 11 and 4: 44.

With this number, we now have the following ratios:

1) 20:24 (we multiplied everything by 4 to have a total of 44)
2) 11:33 (we multiplied everything by 11 to have a total of 44)

This means that we had 20 people in the beginning and only 11 in the end, which means that 9 people left. It makes sense: we had 24 unfilled in the beginning and 24+9=33 unfilled in the end, from the 9 that left.

The question asks the ratio of people who watched the entire movie to people who didn't, or 11/9.
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Re: At a particular movie, what was the ratio of the number of people who [#permalink] New post   24 Jan 2021, 20:02
E?

St1 - filled:not filled = 5x:6x
Insufficient.
We're concerned with 5x which is the total number of people that started the movie, but we don't know anything about how many left at the beginning

St2 - filled:not filled = x:3x
Insufficient
x is the number we care about, but we don't know how many started the movie.

Combo pack:
WE still don't know specifics about the numbers.
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At a particular movie, what was the ratio of the number of people who [#permalink] New post   24 Jan 2021, 20:47
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Bunuel wrote:
At a particular movie, what was the ratio of the number of people who watched the entire movie to the number of people who left the movie before it ended? (Assume all audience members were in their seats by the start of the movie.

(1) At the beginning of the movie, with the entire audience seated, the ratio of the number of seats filled to the number of seats not filled was 5 to 6.
(2) At the end of the movie, the ratio of the number of seats filled to seats not filled was 1 to 3.


Combined:

Assuming we have 220 seats in total, at the start of the movie we have 100 people watching and 110 seats empty.

At the end of the movie, we have 55 seats filled and the rest empty. Thus we can confirm 100 - 55 = 45 people left the movie before it ended.

The ratio requested is 55:45 = 11:9 so sufficient.

Ans: C
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At a particular movie, what was the ratio of the number of people who [#permalink] New post   25 Jan 2021, 17:19
At a particular movie, what was the ratio of the number of people who watched the entire movie to the number of people who left the movie before it ended? (Assume all audience members were in their seats by the start of the movie.

(1) At the beginning of the movie, with the entire audience seated, the ratio of the number of seats filled to the number of seats not filled was 5 to 6.
(2) At the end of the movie, the ratio of the number of seats filled to seats not filled was 1 to 3.
Can anyone tell me the correct answer?
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Re: At a particular movie, what was the ratio of the number of people who [#permalink] New post   06 Jan 2024, 07:46
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Re: At a particular movie, what was the ratio of the number of people who [#permalink]
06 Jan 2024, 07:46
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