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