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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: 20
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, 06:41
2
00:00

Difficulty:

15% (low)

Question Stats:

83% (01:28) correct 17% (02:13) wrong based on 80 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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Math Expert
Joined: 02 Sep 2009
Posts: 46207
Re: In a certain boys camp, 20% of the total boys are from [#permalink]

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19 Aug 2014, 07:28
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, 23:08
2
Refer diagram below
Attachment:

scie.png [ 4.76 KiB | Viewed 1584 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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Intern
Joined: 29 Jan 2014
Posts: 20
GMAT 1: 510 Q36 V26
GMAT 2: 550 Q38 V28
Re: In a certain boys camp, 20% of the total boys are from [#permalink]

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19 Aug 2014, 23:12
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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07 Mar 2017, 05:25
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: In a certain boys camp, 20% of the total boys are from   [#permalink] 07 Mar 2017, 05:25
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