Question

There are 3 times as many boys as girls. If there are 24 more boys than girls, how many children are there?

How would I put this into a bar diagram? I can do it with algebra but I am having trouble drawing a bar diagram to help represent this problem.

Answer 1

There are 48 children.

Explanation:

Given :There are 3 times as many boys as girls.

There are 24 more boys than girls,

To Find : how many children are there?

Solution:

Let the number of girls be x

Now we are given that there are 3 times as many boys as girls.

So, no. of boys = 3x

Now we are given that there are 24 more boys than girls.

So,
`3x-x=24`

`2x=24`

`x=12`

So, no. of girls = 12

No. of boys = 3x = 3(12) = 36

Now the total no. of children = 12+36 = 48

Hence there are 48 children.