Some passengers board a school bus.
At Bus Stop A,
13 of them alight
and 8 passengers board.
At Bus Stop B,
35 of the passengers alight
and 10 board.
If there are 18 passengers on the bus now,
how many passengers are on the bus at first?
|
Number of passengers |
Before |
3 u |
|
Change 1 At Bus Stop A |
- 1 u + 8 |
|
After 1 |
2 u + 8 |
5 p |
Change 2 At Bus Stop B |
|
- 3 p + 10 |
After 2 |
|
18 |
Working backwards.
Number of passengers in the end = 18
5 p - 3 p = 18 - 10
2 p = 8
1 p = 8 ÷ 2 = 4
5 p = 5 x 4
5 p = 20
2 u + 8 = 5 p
2 u + 8 = 20
2 u = 20 - 8
2 u = 12
1 u = 12 ÷ 2 = 6
Total number of passengers at first
= 3 u
= 3 x 6
= 18
Answer(s): 18