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

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At a particular movie, what was the ratio of the number of people who  [#permalink]

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New post 05 Oct 2018, 06:57
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Difficulty:

  25% (medium)

Question Stats:

78% (01:30) correct 22% (01:52) wrong based on 34 sessions

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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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Re: At a particular movie, what was the ratio of the number of people who  [#permalink]

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New post 05 Oct 2018, 07:51
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1st Statement:

we have no information about people who left the cinema. NOT SUFFICIENT

2nd Statement:

Same as above. NOT SUFFICIENT

1 + 2:

Let's call T the total number of seats.

Using the ratios given as data, we create the below system of equations:

5x + 6x = T
y + 3y = T

Now we know that:

1) the number of people who were seating at the cinema at the beginning is 5x;
2) the number of people who were seating at the cinema at the end is y;

We have to find is y/5x-y. Solving the above system of equations, we have:

x=T/11
y=T/4

By sostitution, we can easily find the vale of the ratio as 11/9.

SUFFICIENT.
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Re: At a particular movie, what was the ratio of the number of people who   [#permalink] 05 Oct 2018, 07:51
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