There were
13 as many adults as children on a bus. At the first bus stop, 14 adults and 14 children boarded the bus. There were then
45 as many adults as children. How many adults were on the bus at first?
| |
Adults |
Children |
Difference |
| Before |
1x1 =
1 u |
3x1 =
3 u |
2x1 =
2 u |
| Change |
+ 14 |
+ 14 |
|
| After |
4x2 =
8 u |
5x2 =
10 u |
1x2 =
2 u |
Since equal number of adults and children boarded 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 boarded the bus
= 8 u - 1 u
= 7 u
7 u = 14
1 u = 14 ÷ 7 = 2
Number of adults at first
= 1 u
= 1 x 2
= 2
Answer(s): 2
