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For every administrator at a certain summer program there are two coun

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V
Joined: 02 Sep 2009
Posts: 47012
For every administrator at a certain summer program there are two coun [#permalink]

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New post 28 Dec 2017, 21:36
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C
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  25% (medium)

Question Stats:

87% (00:36) correct 13% (00:39) wrong based on 15 sessions

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For every administrator at a certain summer program there are two counselors and for each counselor there are 7 children. If all of the 170 people at the program go to an amusement park, how many counselors went to the park?

A. 10
B. 17
C. 20
D. 34
E. 119

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Re: For every administrator at a certain summer program there are two coun [#permalink]

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New post 29 Dec 2017, 04:47
Bunuel wrote:
For every administrator at a certain summer program there are two counselors and for each counselor there are 7 children. If all of the 170 people at the program go to an amusement park, how many counselors went to the park?

A. 10
B. 17
C. 20
D. 34
E. 119


We'll translate our question into algebra in order to solve the question.
This is a Precise approach.

The ratio between administrators to counselors is 1:2 and between counselors to children is 1:7.
To compare these we'll multiply the second ratio by 2 giving a ratio of 2:14 between counselors to children.
Our total ratio is 1:2:14 which combine for a total of 1+2+14 = 17 'ratio units'.
Since 170 people went ot the amusement park, each ratio unit is worth 170/17 = 10.
There are 2 ratio units of counselors giving a total of 10*2 = 20 counselors
.
(C) is our answer.
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Re: For every administrator at a certain summer program there are two coun   [#permalink] 29 Dec 2017, 04:47
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