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15 Jun 2020, 00:25
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Difficulty:
25%
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Question Stats:
82% (01:42) correct
18%
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A club had 3 boys and 5 girls. During a membership drive the same number of boys and girls joined the club. How many members does the club have now if the ratio of boys to girls is 3:4?
A) 12
B) 14
C) 16
D) 21
E) 28
A) 12
B) 14
C) 16
D) 21
E) 28
15 Jun 2020, 00:29
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Bunuel
New Count of Boys = 3+x
New Count of Girls = 5+x
Given: \(\frac{3+x}{5+x} = \frac{3}{4}\)
i.e. 15+3x = 12+4x
i.e. x = 3
Number of members in club NOW = 3+x+5+x = 8+2x = 8+6 = 14
Answer: Option B
15 Jun 2020, 00:35
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Let the number of new joinees be:
boys = girls = x
=> (3+x)/(5+x) = 3/4
=> 12 + 4x = 15 + 3x
=> x = 3
=> Number of boys = 3+3 = 6
And,
Number of girls = 5+3 = 8
=> Total = 14
Answer: B
Posted from my mobile device
boys = girls = x
=> (3+x)/(5+x) = 3/4
=> 12 + 4x = 15 + 3x
=> x = 3
=> Number of boys = 3+3 = 6
And,
Number of girls = 5+3 = 8
=> Total = 14
Answer: B
Posted from my mobile device
