Zane and Owen had 57 pencils. After Zane gave 18 pencils to Owen. Owen, in return, gave half of his pencils to Zane. In the end, Zane had twice as many pencils as Owen. How many pencils did Zane have at first?
| |
Zane |
Owen |
Total |
| Before |
1 u + 18 |
2 u - 18 |
57 |
| Change 1 |
- 18 |
+ 18 |
|
| After 1 |
1 u |
2 u |
|
| Change 2 |
+ 1 u |
- 1 u |
|
| After 2 |
2 u |
1 u |
57 |
Total number of pencils that Zane and Owen had at first and in the end remains unchanged.
Total number of pencils
= 2 u + 1 u
= 3 u
1 u = 57 ÷ 3 = 19
Number of pencils that Zane had at first
= 1 u + 18
= 19 + 18
= 37
Answer(s): 37
