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At a certain school, the ratio of the number of 2nd gr

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At a certain school, the ratio of the number of 2nd gr [#permalink] New post 07 May 2013, 01:14
Expert's post
4. At a certain school, the ratio of the number of 2nd graders to the number of 4th graders is 8 to 5; the ratio of the number of 1st graders to the number of 2nd graders is 3 to 4; and the ratio of the number of 3rd graders to the number of 4th graders is 3 to 2

In the table, select a value for the number of 1st graders and the number of 3rd graders, so that the two numbers are jointly consistent with the information provided. Make only two selections, one in each column.


1st graders ---- 3rd graders
------------------------------------ 4
------------------------------------ 8
------------------------------------ 12
------------------------------------ 14
------------------------------------ 15
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Kudos [?]: 1 [0], given: 32

Re: At a certain school, the ratio of the number of 2nd gr [#permalink] New post 07 May 2013, 06:57
Just doing like this : 1st graders (a), 2nd graders (b), 3rd graders (c), and 4th graders (d) for ease.

a/b = 3/4.
b/d = 8/5
c/d= 3/2.
a/c = ??

a/c = a/b * b/d * d/c
= 3/4 * 8/5 * 2/3
a/c = 4/5 . .

So this satisfied by a= 12, and b = 15 . .
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Kudos [?]: 5 [0], given: 5

Re: At a certain school, the ratio of the number of 2nd gr [#permalink] New post 10 May 2013, 21:53
Hi,

Multiplying the ratios to get ratio of 1st graders: 3rd graders = 4:5.
This can be clearly seen for values 12:15.Hence 1st Graders = 12 & 3rd Graders = 15 out of the given set of values.

Thanks & Regards,
Prateek Sharma.
Re: At a certain school, the ratio of the number of 2nd gr   [#permalink] 10 May 2013, 21:53
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