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GRE Prep Club Team Member
Joined: 20 Feb 2017
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In a certain region, the number of children who have been vaccinated
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19 Apr 2022, 09:00
19 Apr 2022, 09:00
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Question Stats:
60% (01:57) correct
40% (02:15) wrong based on 5 sessions
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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
A. 2,500
B. 7,500
C. 10,000
D. 15,000
E. 17,500
Re: In a certain region, the number of children who have been vaccinated
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19 Apr 2022, 19:11
19 Apr 2022, 19:11
1
Quote:
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?
Let number of children who have been vaccinated ONLY against rubella = a
number of children who have been vaccinated BOTH against rubella and mumps = b
number of children who have been vaccinated ONLY against mumps = c
the number of children who have been vaccinated against rubella is twice the number who have been vaccinated against mumps
a + b = 2(b+c)
a = b + 2c
The number who have been vaccinated against both is twice the number who have been vaccinated only against mumps
b = 2c
If 5,000 have been vaccinated against both, therefore b = 5000
Using above equations
c = 2500
a = 10000
IMO C
gmatclubot
Re: In a certain region, the number of children who have been vaccinated [#permalink]
19 Apr 2022, 19:11
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