Billy and Julian had 60 pencils. After Billy gave 13 pencils to Julian. Julian, in return, gave half of his pencils to Billy. In the end, Billy had twice as many pencils as Julian. How many pencils did Billy have at first?
| |
Billy |
Julian |
Total |
| Before |
1 u + 13 |
2 u - 13 |
60 |
| Change 1 |
- 13 |
+ 13 |
|
| After 1 |
1 u |
2 u |
|
| Change 2 |
+ 1 u |
- 1 u |
|
| After 2 |
2 u |
1 u |
60 |
Total number of pencils that Billy and Julian had at first and in the end remains unchanged.
Total number of pencils
= 2 u + 1 u
= 3 u
1 u = 60 ÷ 3 = 20
Number of pencils that Billy had at first
= 1 u + 13
= 20 + 13
= 33
Answer(s): 33
