Question

The attendance at a rugby game is as follows no. of men:no. of women:no. of children = 17:9:12

Given that there are 3512 more men than women work out the number of children attending the game

Answer 1

The number of children who attend the game are:

5268

Explanation:

The ratio of number of men to number of women to the number of children is given by:

17:9:12

Let x be a constant such that we may define:

Number of men are: 17x

Number of women are: 9x

and the number of children are: 12x

There are 3512 more men than women.

This means that:

17x-9x=3512

i.e. 8x=3512

i.e. x=439

Hence, the number of children who attend the game are:

12x=12×439

= 5268

Answer 2

Answer: Number of children is 5268

Explanation:

Since we have given that

The ratio of men to women to children is given by

17:9:12

So,

Number of men be 17x

Number of women be 9x

Number of children 12x

According to question, we have there are 3512 more men than women ,

so,

`17x-9x=3512\\\\8x=3512\\\\x=(3512)/(8)\\\\x=439`

So, Number of children is given by

`12x=12* 439=5268`