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17 Sep 2019, 00:11
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In a hair cut competition, the number of blonde girls is three times bigger than the number of brown haired girls, and the number of brown haired girls is twice the number of red haired girls. Assuming that there is no other hair color, what is the proportion of the brown haired girls?
A. 2/3.
B. 4/9.
C. 1/3.
D. 5/9.
E. 2/9.
A. 2/3.
B. 4/9.
C. 1/3.
D. 5/9.
E. 2/9.
firas92
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17 Sep 2019, 00:20
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Let \(x\)=Number of Blonde girls
\(y\)=Number of Brown haired girls
\(z\)=Number of Red Haired girls
Given,
\(x=3y, y=2z\) or \(z=\frac{y}{2}\)
To find,
\(\frac{y}{x+y+z}\)
Substituting for \(x\) & \(z\),
\(\frac{y}{3y+y+y/2} = \frac{2}{9}\)
Answer is (E)
\(y\)=Number of Brown haired girls
\(z\)=Number of Red Haired girls
Given,
\(x=3y, y=2z\) or \(z=\frac{y}{2}\)
To find,
\(\frac{y}{x+y+z}\)
Substituting for \(x\) & \(z\),
\(\frac{y}{3y+y+y/2} = \frac{2}{9}\)
Answer is (E)
17 Sep 2019, 02:56
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Bunuel
In a hair cut competition, the number of blonde girls is three times bigger than the number of brown haired girls, and the number of brown haired girls is twice the number of red haired girls. Assuming that there is no other hair color, what is the proportion of the brown haired girls?
A. 2/3.
B. 4/9.
C. 1/3.
D. 5/9.
E. 2/9.
A. 2/3.
B. 4/9.
C. 1/3.
D. 5/9.
E. 2/9.
blonde=3 brown
brown=2 red
let red= 4 ; brown =8 and blonde =24
total 36
brown hair proportion ; 8/36 ; 2/9
IMO E
