There were
34 as many adults as children on a bus. At the first bus stop, 2 adults and 2 children boarded the bus. There were then
79 as many adults as children. How many adults were on the bus at first?
|
Adults |
Children |
Difference |
Before |
3x2 = 6 u |
4x2 = 8 u |
1x2 = 2 u |
Change |
+ 2 |
+ 2 |
|
After |
7x1 = 7 u |
9x1 = 9 u |
2x1 = 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 1 and 2 is 2.
Number of adults who boarded the bus
= 7 u - 6 u
= 1 u
1 u = 2
1 u = 2 ÷ 1 = 2
Number of adults at first
= 6 u
= 6 x 2
= 12
Answer(s): 12