Question

Pls help me with number

Answer 1

Total people = 240

Explanation:

Let the total number of people by 'x'.

`\sf \text{Number of men =$ (1)/(4)*x$} \\`

`\sf \text{Number of women =$(1)/(3)x$}`

Number of children = 100

When we subtract the total number of men and women from the total people 'x', we get the number of children.

`\sf x - \left((1)/(4)x+(1)/(3)x\right)= 100\\\\x - \left((1*3)/(4*3)x+(1*4)/(3*4)x\right)=100\\\\`

`x- (4+3)/(12)x=100\\\\x - (7)/(12)x = 100\\\\ (12)/(12)x-(7)/(12)x = 100\\\\ (5)/(12)x=100\\`

`\sf x = 100*(12)/(5)\\`

x = 20 * 12

x = 240

Total number of people = 240