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10 Nov 2018, 06:36
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
78% (02:09) correct
22%
(02:13)
wrong
based on 1738
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History
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In a student body the ratio of men to women was 1 to 4. After 140 additional men were admitted, the ratio of men to women became 2 to 3. How large was the student body after the additional men were admitted?
(A) 700
(B) 560
(C) 280
(D) 252
(E) 224
(A) 700
(B) 560
(C) 280
(D) 252
(E) 224
10 Nov 2018, 07:34
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Let the original constant of proportion be x.
After adding 140 men the new ratio of men to women becomes 2:3
This can be represented using:
\(\frac{(x+140)}{4x} = \frac{2}{3}\)
On solving for x,
\(3(x+140) = 8x\)
\(3x + 420 = 8x\)
\(5x = 420\)
we get \(x = 84\)
So the total original men and women are \(x + 4x = 5x\) or \(420\)
On adding the 140 men, the new total becomes -> \(420 + 140 = 560\)
Hence Option (B) is our choice.
Best,
Gladi
After adding 140 men the new ratio of men to women becomes 2:3
This can be represented using:
\(\frac{(x+140)}{4x} = \frac{2}{3}\)
On solving for x,
\(3(x+140) = 8x\)
\(3x + 420 = 8x\)
\(5x = 420\)
we get \(x = 84\)
So the total original men and women are \(x + 4x = 5x\) or \(420\)
On adding the 140 men, the new total becomes -> \(420 + 140 = 560\)
Hence Option (B) is our choice.
Best,
Gladi
HKD1710
09 Dec 2018, 05:33
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Bookmarks
M : W = 1 : 4 = 3 : 12
New Ratio M: W = 2 : 3 = 8 : 12
total units = 8 + 12 = 20
Therefore, 5 units = 140
20 units = 140 * 5 = 560
Ans: B
New Ratio M: W = 2 : 3 = 8 : 12
total units = 8 + 12 = 20
Therefore, 5 units = 140
20 units = 140 * 5 = 560
Ans: B
