In a hair cut competition, the number of blonde girls is three times

Question

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 · Answer

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)

Archit3110 · Answer

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

Abhishek009 · Answer

Let, No of Red haired Girl be = 1 , So, Brown haired Girls = 2 and No of blonde girls = 6 , Total No of Girls = 9

So, proportion of the brown haired girls is 2/9 , Answer must be (E)

ScottTargetTestPrep · Answer

We can let D = the number of blonde girls, W = the number of brown haired girls, and R = the number of red haired girls. We can create the equations:

D = 3W

and

W = 2R

W/2 = R

The proportion of brown haired girls is:

W/(W + 3W + W/2)

Multiplying by 2/2, we have:

2W/(2W + 6W + W) = 2W/9W = 2/9

Answer: E

rishichakravarthi · Answer

3 times bigger than brown hair is it not 4 times  Abhishek009

Posted from my mobile device

WheatyPie · Answer

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.

the number of blonde girls is three times bigger than the number of brown haired girls
=>  Blonde=4*Brown

the number of brown haired girls is twice the number of red haired girls
=>  Brown=2*Red

what is the proportion of the brown haired girls?
=>  \frac{Brown}{Brown+Blonde+Red}

=>  \frac{Brown}{Brown+4*Brown+0.5*Brown}

OA has the first statement mis-translated.
=>  \frac{1}{5.5}=\frac{2}{11}

bumpbot · Answer

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In a hair cut competition, the number of blonde girls is three times

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In a hair cut competition, the number of blonde girls is three times

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