Some adult passengers are on a train. If 275 women alight from the train, the percentage of men will increase from 30% to 80%. How many passengers are there in the train?
|
Men |
Women |
Total |
Before |
3x4 = 12 u |
7x4 = 28 u |
10x4 = 40 u |
Change |
|
- 275 |
|
After |
4x3 = 12 u |
1x3 = 3 u |
5x3 = 15 u |
30% =
30100 =
310 80% =
80100 =
45 The number of men remains unchanged. Make the number of men the same. LCM of 3 and 4 is 12.
Number of women who alight
= 28 u - 3 u
= 25 u
25 u = 275
1 u = 275 ÷ 25 = 11
Number of passengers
= 40 u
= 40 x 11
= 440
Answer: 440