Some students board a school bus.
At Bus Stop A,
47 of them alight
and 5 students board.
At Bus Stop B,
35 of the students alight
and 8 board.
If there are 16 students on the bus now,
how many students are on the bus at first?
|
Number of students |
Before |
7 u |
|
Change 1 At Bus Stop A |
- 4 u + 5 |
|
After 1 |
3 u + 5 |
5 p |
Change 2 At Bus Stop B |
|
- 3 p + 8 |
After 2 |
|
16 |
Working backwards.
Number of students in the end = 16
5 p - 3 p = 16 - 8
2 p = 8
1 p = 8 ÷ 2 = 4
5 p = 5 x 4
5 p = 20
3 u + 5 = 5 p
3 u + 5 = 20
3 u = 20 - 5
3 u = 15
1 u = 15 ÷ 3 = 5
Total number of students at first
= 7 u
= 7 x 5
= 35
Answer(s): 35