Some adult passengers are on a train. If 135 women alight from the train, the percentage of men will increase from 40% to 70%. How many passengers are there in the train?
|
Men |
Women |
Total |
Before |
2x7 = 14 u |
3x7 = 21 u |
5x7 = 35 u |
Change |
|
- 135 |
|
After |
7x2 = 14 u |
3x2 = 6 u |
10x2 = 20 u |
40% =
40100 =
25 70% =
70100 =
710 The number of men remains unchanged. Make the number of men the same. LCM of 2 and 7 is 14.
Number of women who alight
= 21 u - 6 u
= 15 u
15 u = 135
1 u = 135 ÷ 15 = 9
Number of passengers
= 35 u
= 35 x 9
= 315
Answer: 315