Question

There is a total of 270 men, women and children on a train.

The ratio of men to women is 4 : 5.
The ratio of women to children is 10 : 9.
How many men are on the train?

Answer 1

There are 80 men on the train.

Explanation:

Hello! I just completed this question on MathsWatch so here is my explanation

Step 1:

The first thing you need to do is work out the ratio of men to women to children on the train which is

8:10:9

Step 2:

8+10+9= 27

270÷27=10

Step 3:

We now know that 1 in the ratio is equal to 10 people.

To work out the amount of men we need to multiply 10 by 8

10×8=80

These means there is 80 men on the train

Answer 2

Because the ratio of women to children is 10:1, double the ratio of men to women so the women are both 10:

Men to women becomes 8:10

Now total the 3 ratios: 8 for men, 10, for women and 9 for children:

8 + 10 + 9 = 27

Divide total people by that number:

270/27 = 10

Multiply 10 by each ratio:

Men = 8 * 10 = 80

Women = 10 * 10 = 100

Children = 9 *10 = 90

There is 80 men.