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

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Math Expert
Joined: 02 Sep 2009
Posts: 41666

Kudos [?]: 124360 [0], given: 12077

At a certain school, the ratio of the number of 2nd gr [#permalink]

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07 May 2013, 02:14
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.

------------------------------------ 4
------------------------------------ 8
------------------------------------ 12
------------------------------------ 14
------------------------------------ 15
_________________

Kudos [?]: 124360 [0], given: 12077

Intern
Joined: 12 Jun 2012
Posts: 15

Kudos [?]: 1 [0], given: 32

Concentration: Finance, Economics
GPA: 3.2
Re: At a certain school, the ratio of the number of 2nd gr [#permalink]

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07 May 2013, 07:57

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 . .

Kudos [?]: 1 [0], given: 32

Intern
Joined: 25 Apr 2013
Posts: 5

Kudos [?]: 5 [0], given: 5

Location: India
Concentration: Strategy, Marketing
GPA: 2.7
WE: Information Technology (Computer Software)
Re: At a certain school, the ratio of the number of 2nd gr [#permalink]

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10 May 2013, 22:53
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.

Kudos [?]: 5 [0], given: 5

Re: At a certain school, the ratio of the number of 2nd gr   [#permalink] 10 May 2013, 22:53
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