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# In a certain boys camp, 20% of the total boys are from

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Intern
Joined: 29 Jan 2014
Posts: 17
GMAT 1: 510 Q36 V26
GMAT 2: 550 Q38 V28
In a certain boys camp, 20% of the total boys are from  [#permalink]

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19 Aug 2014, 05:41
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3
00:00

Difficulty:

15% (low)

Question Stats:

81% (01:27) correct 19% (01:32) wrong based on 93 sessions

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In a certain boys camp, 20% of the total boys are from school A and 30% of those study science. If there are 49 boys in the camp that are from school A but do not study science then what is the total number of boys in the camp?

A. 70
B. 245
C. 150
D. 35
E. 350

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Joined: 02 Sep 2009
Posts: 52441
Re: In a certain boys camp, 20% of the total boys are from  [#permalink]

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19 Aug 2014, 06:28
benjamin09 wrote:
In a certain boys camp, 20% of the total boys are from school A and 30% of those study science. If there are 49 boys in the camp that are from school A but do not study science then what is the total number of boys in the camp?

A. 70
B. 245
C. 150
D. 35
E. 350

Since 30% of the boys from school A study science, then 70% of the boys from school A do NOT study science and since 20% of the total number of boys are from school A, then 0.2*0.7 = 0.14, or 14% of the boys in the camp are from school A and do not study science.

We are told that this number equals to 49, so 0.14*{total} = 49 --> {total} = 350.

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Re: In a certain boys camp, 20% of the total boys are from  [#permalink]

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19 Aug 2014, 22:08
2
Refer diagram below
Attachment:

scie.png [ 4.76 KiB | Viewed 3020 times ]

Lets say total number of students = x

From School A$$= \frac{20x}{100}$$

30% from School A study science$$= \frac{20x}{100} * \frac{30}{100} = \frac{6x}{100}$$

Remaining from School A not studying science$$= \frac{20x}{100} - \frac{6x}{100} = \frac{14x}{100}$$

Given that $$\frac{14x}{100} = 49$$

x = 350

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Re: In a certain boys camp, 20% of the total boys are from  [#permalink]

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19 Aug 2014, 22:12
Thanks a lot Bunuel & Paresh.
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Re: In a certain boys camp, 20% of the total boys are from  [#permalink]

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11 Jan 2019, 10:33
Let the total boys in camp=100
Boys from School A=20*100/100=20
Boys from school A which study science= 3*20/100=6
Boys from school A which do not study Science=20-6=14

Now, by unitary method,
No. of boys in camp=100*49/14=350
Re: In a certain boys camp, 20% of the total boys are from &nbs [#permalink] 11 Jan 2019, 10:33
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