There were
56 as many children as adults on a bus. At the first bus stop, 10 children and 10 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 |
5x2 = 10 u |
6x2 = 12 u |
1x2 = 2 u |
Change |
- 10 |
- 10 |
|
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
= 10 u - 5 u
= 5 u
5 u = 10
1 u = 10 ÷ 5 = 2
Number of children in the end
= 5 u
= 5 x 2
= 10
Answer(s): 10