Some children board a school bus.
At Bus Stop A,
17 of them alight
and 6 children board.
At Bus Stop B,
13 of the children alight
and 2 board.
If there are 14 children on the bus now,
how many children are on the bus at first?
|
Number of children |
Before |
7 u |
|
Change 1 At Bus Stop A |
- 1 u + 6 |
|
After 1 |
6 u + 6 |
3 p |
Change 2 At Bus Stop B |
|
- 1 p + 2 |
After 2 |
|
14 |
Working backwards.
Number of children in the end = 14
3 p - 1 p = 14 - 2
2 p = 12
1 p = 12 ÷ 2 = 6
3 p = 3 x 6
3 p = 18
6 u + 6 = 3 p
6 u + 6 = 18
6 u = 18 - 6
6 u = 12
1 u = 12 ÷ 6 = 2
Total number of children at first
= 7 u
= 7 x 2
= 14
Answer(s): 14