Question

There are 500 passengers on a train.

7/20 of the passengers are men.

40% of the passengers are women.

The rest of the passengers are children.

Work out the number of children on the train?

*Please show working

Answer 1

Using ratios and percentages, we calculated that there are 175 men and 200 women on the train, totaling 375 passengers. Subtracting this from the total of 500 passengers, we find that there are 125 children on the train.

Step-by-step explanation:

To find the number of children on the train, we need to first determine the number of male and female passengers using the given ratios and percentages and then subtract them from the total number of passengers.

• Total passengers = 500
• Men = ⅗7/20 of 500 = 175 men
• Women = 40% of 500 = 200 women

Adding the number of men and women passengers, we get:

• 175 men + 200 women = 375

To find the number of children, we subtract the sum of men and women from the total number of passengers:

500 - 375 = 125 children

Answer 2

7/20 = 0.35 = 35%=500x.35 =170 men
40%=.40x500 =200 women
200+170=370
500-370
130 children