Question

NEED TO BE DONE ASAP!! ✅

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:
How many men are on the train?
Give your final answer as
.. men on the train.

Answer 1

Answer: 80 men

Step-by-step explanation:

Let m represent the number of men , w , the number of women and c the number of children , then we have:

m : w = 4 : 5 ............... equation 1

w : c = 10 : 9 ............ equation 2

Multiply equation 1 by 2 so as to get the ratio m:w:c , that is

equation 1 becomes : m: w = 8 : 10

so the combine ration m : w : c is 8 : 10 : 9

The total ratio is therefore 8 + 10 + 9 = 27

number of men = ratio of men/ total ratio X 270

number of men = 8/27 X 270

number of men = 8 X 10

number of men = 80