Carl and Liam had 66 pencils. After Carl gave 21 pencils to Liam. Liam, in return, gave half of his pencils to Carl. In the end, Carl had twice as many pencils as Liam. How many pencils did Carl have at first?
| |
Carl |
Liam |
Total |
| Before |
1 u + 21 |
2 u - 21 |
66 |
| Change 1 |
- 21 |
+ 21 |
|
| After 1 |
1 u |
2 u |
|
| Change 2 |
+ 1 u |
- 1 u |
|
| After 2 |
2 u |
1 u |
66 |
Total number of pencils that Carl and Liam had at first and in the end remains unchanged.
Total number of pencils
= 2 u + 1 u
= 3 u
1 u = 66 ÷ 3 = 22
Number of pencils that Carl had at first
= 1 u + 21
= 22 + 21
= 43
Answer(s): 43
