Math, asked by tanyashrivastava23, 5 months ago

in a village the ratio of men to women to childern is 2:3:6 there are 150 men find population of the village ​

Answers

Answered by kashi5h
1

Step-by-step explanation:

Let the no. of men be 2x,

women be 3x,

children be 6x

Given, No. of men = 150

So, 2x = 150

       x = 150/2

      x = 75

No. of women = 3x

                        = 3 X 75 = 225

No. of children = 6x

                         = 6 X 75 = 450

Total population of the village = 150 + 225 + 450

                                                   = 825

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Answered by SuitableBoy
34

{\huge{\underline{\underline{\bf{Question:}}}}}

★ In a village the ratio of men to women to children is 2:3:6 there are 150 men. Find population of the village .

{\huge{\underline{\underline{\bf{Answer\checkmark}}}}}

# Given :

  • Men : Women : Childern = 2 : 3 : 6
  • Number of men = 150

# To Find :

  • Total Population = ?

# Solution :

Let the ratios be 2x , 3x and 6x

It means -

  • Men = 2x
  • Women = 3x
  • Children = 6x

And , we know that

  • Men = 150

So ,

 \mapsto \rm \:  \cancel2x =  \cancel{150}

 \mapsto  \boxed{\rm \: x = 75}

So , we have got the value of x ..

Now , just put ,

 \mapsto \rm \: women = 3x = 3 \times 75

 \mapsto \boxed{ \rm \: women = 225}

&

 \mapsto \rm \: children = 6x = 6 \times 75

 \mapsto  \boxed{\rm \: children = 450}

Now ,

Total Population = No. of men + no. of women + no. of children .

Total Population = 150 + 225 + 450

 \implies \boxed{ \rm \: total \: population \:  =825 }

So , the total population of the village is 825 .

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