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1/4 of all the juniors and in all the seniors of a certain

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Carcass
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1/4 of all the juniors and in all the seniors of a certain [#permalink] New post   Updated on: 11 Mar 2020, 16:34
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\(\frac{1}{4}\) of all the juniors and \(\frac{2}{3}\) of all the seniors of a certain school are going on a trip. If there are \(\frac{2}{3}\) as many juniors as seniors, what fraction of the junior and senior students are not going on the trip?

(A) \(\frac{4}{9}\)

(B) \(\frac{1}{2}\)

(C) \(\frac{2}{3}\)

(D) \(\frac{1}{3}\)

(E) \(\frac{5}{6}\)
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B

Originally posted by Carcass on 15 Jul 2019, 02:19.
Last edited by Carcass on 11 Mar 2020, 16:34, edited 2 times in total.
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Re: 1/4 of all the juniors and in all the seniors of a certain [#permalink] New post   15 Jul 2019, 08:27
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Carcass wrote:
\(\frac{1}{4}\) of all the juniors and \(\frac{2}{3}\) in all the seniors of a certain school are going on a trip. If there are as many juniors as seniors, what fraction of the junior and senior students are not going on the trip?

(A) \(\frac{4}{9}\)

(B) \(\frac{1}{2}\)

(C) \(\frac{2}{3}\)

(D) \(\frac{1}{3}\)

(E) \(\frac{5}{6}\)


Something is missing in this question. It says Juniors = seniors. then the answer is \(13/24\)
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Re: 1/4 of all the juniors and in all the seniors of a certain [#permalink] New post   15 Jul 2019, 08:31
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Fixed. One fraction was not transcribed.

regards
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Re: 1/4 of all the juniors and in all the seniors of a certain [#permalink] New post   11 Mar 2020, 14:05
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Can anyone explain this?
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Re: 1/4 of all the juniors and in all the seniors of a certain [#permalink] New post   11 Mar 2020, 16:41
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Take the LCM of the juniors and the seniors 4*3=12

Juniors are 2/3 of 12=8

12 are seniors

Total students are 20=12+8

1/4 of 8 =2 are juniors on trip

2/3 of 12 = 8 of seniors on trip

Students on trip are 8+2=10

NOT on trip are 10/20=1/2

B is the answer
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Re: 1/4 of all the juniors and in all the seniors of a certain [#permalink] New post   24 Feb 2023, 04:23
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Going:
1/4 J
2/3 S

Not going
3/4 J
1/3 S

J= 2/3S

Adding both fractions of not going after replacing J with S
3/4 * 2/3 = 1/2

1/2 + 1/3 = 5/6
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Re: 1/4 of all the juniors and in all the seniors of a certain [#permalink] New post   05 Apr 2024, 06:30
Hello from the GRE Prep Club BumpBot!

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).

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Re: 1/4 of all the juniors and in all the seniors of a certain [#permalink]
05 Apr 2024, 06:30
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