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There are n people in a room. One-third of them leave the ro
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15 Oct 2018, 04:22
15 Oct 2018, 04:22
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Question Stats:
89% (01:10) correct
10% (00:57) wrong based on 79 sessions
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There are n people in a room. One-third of them leave the room. Four people enter the room. There are now \(\frac{5}{6}\) of the original number of people in the room.
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
n |
20 |
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
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Joined: 10 Apr 2015
Posts: 6218
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Re: There are n people in a room. One-third of them leave the ro
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15 Oct 2018, 06:25
15 Oct 2018, 06:25
2
Carcass wrote:
There are n people in a room. One-third of them leave the room. Four people enter the room. There are now \(\frac{5}{6}\) of the original number of people in the room.
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
n |
20 |
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
There are n people in a room. One-third of them leave the room.
If 1/3 LEAVE the room, then 2/3 of the people REMAIN in the room.
So, (2/3)n = the number of people REMAINING in the room
Four people enter the room.
So, (2/3)n + 4 = the number of people now in the room
There are now 5/6 of the original number of people in the room.
In other words, (2/3)n + 4 = (5/6)n
Multiply both sides by 6 to get: 4n + 24 = 5n
Solve: n = 24
We get:
Quantity A: 24
Quantity B: 20
Answer: A
Cheers,
Brent
Re: There are n people in a room. One-third of them leave the ro
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11 May 2021, 13:22
11 May 2021, 13:22
Hello from the GRE Prep Club BumpBot!
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
