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QOTD#28 A jar contains only marbles of three different color

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GRE Prep Club Legend
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Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1865 [0], given: 397

QOTD#28 A jar contains only marbles of three different color [#permalink] New post 31 May 2017, 06:29
Expert's post
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Question Stats:

75% (01:16) correct 25% (00:18) wrong based on 8 sessions
A jar contains only marbles of three different colors: red, green, and yellow. The red and green marbles are in a ratio of 2:5, and the yellow and red marbles are in a ratio of 5:6. Which of the following could be the total number of marbles?

Indicate all the options

A. 13
B. 24
C. 52
D. 90
E. 134
F. 182

Drill 2
Question: 5
Page: 341
[Reveal] Spoiler: OA

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Sandy
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GRE Prep Club Legend
GRE Prep Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 112

Kudos [?]: 1865 [0], given: 397

Re: QOTD#28 A jar contains only marbles of three different color [#permalink] New post 04 Jun 2017, 15:29
Expert's post
Explanation

Since red is common to the given ratios, you’ll want to multiply the red:green ratio by 3 so that red is 6 in both. Now you can put it all together in one ratio—red:green:yellow = 6:15:5.

More importantly, you can put them in one Ratio Box:

Attachment:
DI Upload.jpg
DI Upload.jpg [ 10.92 KiB | Viewed 1372 times ]


No need to finish the rest of the Ratio Box—you have all you need. Look for answer choices that are multiples of 26. Only choices C and F work.
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Sandy
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Re: QOTD#28 A jar contains only marbles of three different color [#permalink] New post 11 Jan 2019, 22:46
Expert's post
This may be a bit of steps but it will always lead you to the right answer.

R/G= 2/5
Y/R= 5/6
R=R
since they give us everything in terms of Red, the write All other colors in terms of Red
Then
G=5R/2
Y=5R/6
R=R

R+G+Y= 5R/2 + 5R/6 + R

Multiply everything by 6 to clear the denominators, and you get

6R + 15R + 5R= 26R

then total marbles ahve to be a multiple of 26,

thus we choose C and F
Re: QOTD#28 A jar contains only marbles of three different color   [#permalink] 11 Jan 2019, 22:46
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QOTD#28 A jar contains only marbles of three different color

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