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# In a certain region, the number of children who have been

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Joined: 15 Oct 2007
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In a certain region, the number of children who have been [#permalink]  15 Oct 2007, 20:30
In a certain region, the number of children who have been vaccinated against rubella is twice the number who have been vaccinated against mumps. The number who have been vaccinated against both is twice the number who have been vaccinated only against mumps. If 5,000 have been vaccinated against both, how many have been vaccinated only against rubella?

A. 2,500
B. 7,500
C. 10,000
D. 15,000
E. 17,500
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Joined: 09 Jul 2007
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Location: London
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Re: Group (Venn) Question [#permalink]  15 Oct 2007, 20:41
mistahfold wrote:
In a certain region, the number of children who have been vaccinated against rubella is twice the number who have been vaccinated against mumps. The number who have been vaccinated against both is twice the number who have been vaccinated only against mumps. If 5,000 have been vaccinated against both, how many have been vaccinated only against rubella?

A. 2,500
B. 7,500
C. 10,000
D. 15,000
E. 17,500

R=2M
R&M=2M only

R&M=5000

only M=2500
M=7500

as R=2M so R=15000
then R only=15000-5000=10000

C
Re: Group (Venn) Question   [#permalink] 15 Oct 2007, 20:41
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