Question

There are 60 people in a choir

half of the people in the choir are women
the number of women in the choir is 3 times the number of men in the choir
the rest of the people in the choir are children
the number of children in the choir :the number of men in the choir =n:1
work out the value of n

Answer 1

20 men in the choir and 40 children

Explanation:

Answer 2

The value of n is 2.

Explanation:

The total number of people in the choir = 60

Number of women in the choir = 30

Let the number of men in the choir be represented by x, so that;

Number of women = 3x

So that;

3x = 30

x =
`(30)/(3)`

= 10

The number of men in the choir is 10.

the number of children in the choir: the number of men in the choir = n:1

number of children in the choir = 60 - (number of women + number of men)

= 60 - 40

= 20

number of children in the choir = 20

Thus,

the number of children in the choir: the number of men in the choir = 20:10

= 2:1

The value of n is 2.