Brandon and Liam had 72 markers. After Brandon gave 21 markers to Liam. Liam, in return, gave half of his markers to Brandon. In the end, Brandon had twice as many markers as Liam. How many markers did Brandon have at first?
|
Brandon |
Liam |
Total |
Before |
1 u + 21 |
2 u - 21 |
72 |
Change 1 |
- 21 |
+ 21 |
|
After 1 |
1 u |
2 u |
|
Change 2 |
+ 1 u |
- 1 u |
|
After 2 |
2 u |
1 u |
72 |
Total number of markers that Brandon and Liam had at first and in the end remains unchanged.
Total number of markers
= 2 u + 1 u
= 3 u
1 u = 72 ÷ 3 = 24
Number of markers that Brandon had at first
= 1 u + 21
= 24 + 21
= 45
Answer(s): 45