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

Answer:

there are 80 men in the train..

Answer 2

Answer: 80 men

Step-by-step explanation:

To find the answer,

the second term of the first ratio must be equal to the first term of second ratio.

Thus,

4:5 = 4×2 : 5×2 = 8:10

Now,

The ratio of men to women is 8:10

& the ratio of women to children is 10:9.

Therefore,

Men:women:children = 8:10:9

Let the common multiple be 'a'.

From the given condition,

8a + 10a + 9a = 270

27a = 270

a = 10

Thus,

No. of total men in the train is:

8a = 8 × 10 = 80

Therefore, there are total 80 men in the train.