Archie and Neave had 60 pencils. After Archie gave 14 pencils to Neave. Neave, in return, gave half of his pencils to Archie. In the end, Archie had twice as many pencils as Neave. How many pencils did Archie have at first?
| |
Archie |
Neave |
Total |
| Before |
1 u + 14 |
2 u - 14 |
60 |
| Change 1 |
- 14 |
+ 14 |
|
| After 1 |
1 u |
2 u |
|
| Change 2 |
+ 1 u |
- 1 u |
|
| After 2 |
2 u |
1 u |
60 |
Total number of pencils that Archie and Neave 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 Archie had at first
= 1 u + 14
= 20 + 14
= 34
Answer(s): 34
