Some passengers board a school bus.
At Bus Stop A,
27 of them alight
and 10 passengers board.
At Bus Stop B,
35 of the passengers alight
and 6 board.
If there are 18 passengers on the bus now,
how many passengers are on the bus at first?
|
Number of passengers |
Before |
7 u |
|
Change 1 At Bus Stop A |
- 2 u + 10 |
|
After 1 |
5 u + 10 |
5 p |
Change 2 At Bus Stop B |
|
- 3 p + 6 |
After 2 |
|
18 |
Working backwards.
Number of passengers in the end = 18
5 p - 3 p = 18 - 6
2 p = 12
1 p = 12 ÷ 2 = 6
5 p = 5 x 6
5 p = 30
5 u + 10 = 5 p
5 u + 10 = 30
5 u = 30 - 10
5 u = 20
1 u = 20 ÷ 5 = 4
Total number of passengers at first
= 7 u
= 7 x 4
= 28
Answer(s): 28