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In one day, Juan sends Keith three times as many messages as

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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4750
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1663 [0], given: 396

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In one day, Juan sends Keith three times as many messages as [#permalink] New post 31 May 2017, 07:06
Expert's post
00:00

Question Stats:

50% (01:45) correct 50% (00:00) wrong based on 2 sessions
In one day, Juan sends Keith three times as many messages as he sends Laurence, and Laurence sends Missy 4.5 times as many messages as he receives from Juan. If Missy received 18 messages from Laurence, how many messages does Keith receive from Juan?

A. 3
B. 12
C. 16
D. 18
E. 56

Drill 1
Question: 8
Page: 342
[Reveal] Spoiler: OA

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Sandy
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4750
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1663 [0], given: 396

CAT Tests
Re: In one day, Juan sends Keith three times as many messages as [#permalink] New post 04 Jun 2017, 15:41
Expert's post
Explanation

It’s an algebra question with numbers for answer choices, so set up your scratch paper to plug in the answers.

The answers represent the number of messages Keith receives from Juan, so label them K, or something similar, and give yourself columns for L, which is K ÷ 3, and M, which is 4.5 × L.

Start with choice (C). If K = 16, then L is a fraction; since you can send a fractional message, eliminate choice (C)—and go ahead and eliminate choice (E), since it’s also not divisible by 3. Next, try choice (B), since it’s the middle of the remaining 3 answer choices. If
K = 12, then L = 4 and M = 18. That’s the correct number of messages for Missy, so choice B is correct.
_________________

Sandy
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Re: In one day, Juan sends Keith three times as many messages as   [#permalink] 04 Jun 2017, 15:41
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