Luke and Reggie had 72 pencils. After Luke gave 15 pencils to Reggie. Reggie, in return, gave half of his pencils to Luke. In the end, Luke had twice as many pencils as Reggie. How many pencils did Luke have at first?
| |
Luke |
Reggie |
Total |
| Before |
1 u + 15 |
2 u - 15 |
72 |
| Change 1 |
- 15 |
+ 15 |
|
| After 1 |
1 u |
2 u |
|
| Change 2 |
+ 1 u |
- 1 u |
|
| After 2 |
2 u |
1 u |
72 |
Total number of pencils that Luke and Reggie had at first and in the end remains unchanged.
Total number of pencils
= 2 u + 1 u
= 3 u
1 u = 72 ÷ 3 = 24
Number of pencils that Luke had at first
= 1 u + 15
= 24 + 15
= 39
Answer(s): 39
