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# At a certain school, the ratio of the number of second

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Senior Manager
Joined: 08 Jun 2004
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At a certain school, the ratio of the number of second [#permalink]  24 Apr 2006, 01:21
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0% (00:00) correct 0% (00:00) wrong based on 1 sessions
At a certain school, the ratio of the number of second graders to the number of fourth graders is 8 to 5, and the ratio of the number of first graders to the number of second graders is 3 to 4. If the ratio of the number of third graders to the number of fourth graders is 3 to 2, what is the ratio of the number of first graders to the number of third graders?

A. 16 to 15
B. 9 to 5
C. 5 to 16
D. 5 to 4
E. 4 to 5
VP
Joined: 29 Apr 2003
Posts: 1405
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4/5

Ans is E...

Normalize all the numerators demonimators! (Use Lowest Common Denomintor).

You should get the value!
Intern
Joined: 28 Nov 2005
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We have:
B:D
8:5

A:B
3:4

C:D
3:2

We are looking for: A:C ?
1Â°)
A:D
6:5

2Â°)
A:C
12:15 = 4:5

Senior Manager
Joined: 08 Jun 2004
Posts: 499
Location: Europe
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Anybody else?
Manager
Joined: 13 Dec 2005
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Location: Milwaukee,WI
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g1/g3 = (g1/g2) * (g2/g4) * (g4/g3)

= (3/4) *(8/5) * (2/3)

=4/5

so the ratio is 4:5

g1 g2 g3 g4 are the grades
Intern
Joined: 28 Nov 2005
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Thanks IPC302, your technique is much faster than mine!
GMAT Club Legend
Joined: 07 Jul 2004
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Location: Singapore
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2nd:4th = 8:5
1st:2nd = 3:4
3rd:4th = 3:2

1st:3rd = ??

We can work out:

1st:2nd:3rd:4th
12:16:15:10

So 1st/3rd = 12/15 = 4/5
Senior Manager
Joined: 08 Jun 2004
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OA is 'E'
Great explanation guys.
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