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19 Aug 2014, 06:41
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
88% (02:04) correct
12%
(02:00)
wrong
based on 391
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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
A. 70
B. 245
C. 150
D. 35
E. 350
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19 Aug 2014, 07:28
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benjamin09
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.
Answer: E.
19 Aug 2014, 23:08
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Refer diagram below
scie.png [ 4.76 KiB | Viewed 12217 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
Answer = E
Attachment:
scie.png [ 4.76 KiB | Viewed 12217 times ]
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
Answer = E
