Caden and Ethan had 78 markers. After Caden gave 22 markers to Ethan. Ethan, in return, gave half of his markers to Caden. In the end, Caden had twice as many markers as Ethan. How many markers did Caden have at first?
| |
Caden |
Ethan |
Total |
| Before |
1 u + 22 |
2 u - 22 |
78 |
| Change 1 |
- 22 |
+ 22 |
|
| After 1 |
1 u |
2 u |
|
| Change 2 |
+ 1 u |
- 1 u |
|
| After 2 |
2 u |
1 u |
78 |
Total number of markers that Caden and Ethan had at first and in the end remains unchanged.
Total number of markers
= 2 u + 1 u
= 3 u
1 u = 78 ÷ 3 = 26
Number of markers that Caden had at first
= 1 u + 22
= 26 + 22
= 48
Answer(s): 48
