There are 60 people in a choir - Edexcel - GCSE Maths - Question 3 - 2019 - Paper 1

Let the number of men be denoted as ( m ). According to the problem, the number of women is 3 times the number of men, so we have:

[ 30 = 3m ]

From this, we can isolate ( m ):

[ m = \frac{30}{3} = 10. ]

We know there are 60 people in total, and we have identified that there are 30 women and 10 men. The number of children is then:

[ \text{Number of children} = 60 - (30 + 10) = 20. ]

Now, we can find the ratio of children to men:

[ \text{Ratio} = \frac{20}{10} = 2. ]

This shows that the ratio of children in the choir to men in the choir is ( n : 1 ), where ( n = 2. )