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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
If, 7a/8 = (a+1)/3, then a =
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20 Mar 2020, 23:34
20 Mar 2020, 23:34
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Question Stats:
95% (00:30) correct
4% (03:35) wrong based on 22 sessions
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If, \(\frac{7a}{8} = \frac{a + 1}{3}\), then \(a =\)
(A) 8/13
(B) 7/8
(C) 2
(D) 7/3
(E) 15
(A) 8/13
(B) 7/8
(C) 2
(D) 7/3
(E) 15
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If, 7a/8 = (a+1)/3, then a =
[#permalink]
21 Mar 2020, 04:55
21 Mar 2020, 04:55
GeminiHeat wrote:
If, \(\frac{7a}{8} = \frac{a + 1}{3}\), then \(a =\)
(A) 8/13
(B) 7/8
(C) 2
(D) 7/3
(E) 15
(A) 8/13
(B) 7/8
(C) 2
(D) 7/3
(E) 15
Key concept: If \(\frac{a}{b}\) = \(\frac{c}{d}\), then \(ad=bc\)
Given: \(\frac{7a}{8} = \frac{a + 1}{3}\)
Cross multiply to get: \((7a)(3) = (8)(a+1)\)
Expand to get: \(21a = 8a+8\)
Subtract \(8a\) from both sides to get: \(13a = 8\)
Divide both sides by \(13\) to get: \(a = \frac{8}{13} \)
Answer: A
Cheers,
Brent
Re: If, 7a/8 = (a+1)/3, then a =
[#permalink]
03 Sep 2024, 16:12
03 Sep 2024, 16:12
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.
