Neave and George had 66 pencils. After Neave gave 18 pencils to George. George, in return, gave half of his pencils to Neave. In the end, Neave had twice as many pencils as George. How many pencils did Neave have at first?
| |
Neave |
George |
Total |
| Before |
1 u + 18 |
2 u - 18 |
66 |
| Change 1 |
- 18 |
+ 18 |
|
| After 1 |
1 u |
2 u |
|
| Change 2 |
+ 1 u |
- 1 u |
|
| After 2 |
2 u |
1 u |
66 |
Total number of pencils that Neave and George 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 Neave had at first
= 1 u + 18
= 22 + 18
= 40
Answer(s): 40
