Some passengers board a school bus.
At Bus Stop A,
35 of them alight
and 3 passengers board.
At Bus Stop B,
37 of the passengers alight
and 5 board.
If there are 17 passengers on the bus now,
how many passengers are on the bus at first?
|
Number of passengers |
Before |
5 u |
|
Change 1 At Bus Stop A |
- 3 u + 3 |
|
After 1 |
2 u + 3 |
7 p |
Change 2 At Bus Stop B |
|
- 3 p + 5 |
After 2 |
|
17 |
Working backwards.
Number of passengers in the end = 17
7 p - 3 p = 17 - 5
4 p = 12
1 p = 12 ÷ 4 = 3
7 p = 7 x 3
7 p = 21
2 u + 3 = 7 p
2 u + 3 = 21
2 u = 21 - 3
2 u = 18
1 u = 18 ÷ 2 = 9
Total number of passengers at first
= 5 u
= 5 x 9
= 45
Answer(s): 45