There were
45 as many children as adults on a bus. At the first bus stop, 6 children and 6 adults alighted the bus. There were then
57 as many children as adults. How many children were on the bus in the end?
|
Children |
Adults |
Difference |
Before |
4x2 = 8 u |
5x2 = 10 u |
1x2 = 2 u |
Change |
- 6 |
- 6 |
|
After |
5x1 = 5 u |
7x1 = 7 u |
2x1 = 2 u |
Since equal number of children and adults alighted the bus, the difference in the number of children and adults at first and in the end remains the same. LCM of 2 and 1 is 2.
Number of children who alighted the bus
= 8 u - 5 u
= 3 u
3 u = 6
1 u = 6 ÷ 3 = 2
Number of children in the end
= 5 u
= 5 x 2
= 10
Answer(s): 10