Jack and Ivan had 81 markers. After Jack gave 16 markers to Ivan. Ivan, in return, gave half of his markers to Jack. In the end, Jack had twice as many markers as Ivan. How many markers did Jack have at first?
| |
Jack |
Ivan |
Total |
| Before |
1 u + 16 |
2 u - 16 |
81 |
| Change 1 |
- 16 |
+ 16 |
|
| After 1 |
1 u |
2 u |
|
| Change 2 |
+ 1 u |
- 1 u |
|
| After 2 |
2 u |
1 u |
81 |
Total number of markers that Jack and Ivan had at first and in the end remains unchanged.
Total number of markers
= 2 u + 1 u
= 3 u
1 u = 81 ÷ 3 = 27
Number of markers that Jack had at first
= 1 u + 16
= 27 + 16
= 43
Answer(s): 43
