Oscar had 80 more pens than Owen. Oscar gave 25% of his pens to Owen. Owen in return gave 60% of his pens to Oscar. In the end, Owen had 244 less pens than Oscar. How many pens did Oscar have at first?
| |
Oscar |
Owen |
Comparing Oscar
and Peter at first |
80 more |
|
| Before |
4 u + 80 |
4 u |
| Change 1 |
- 1 u - 20 |
+ 1 u + 20 |
| After 1 |
3 u + 60 |
5 u + 20 |
| Change 2 |
+ 3 u + 12 |
- 3 u - 12 |
| After 2 |
6 u + 72 |
2 u + 8 |
25% =
25100 =
1425% x 80
=
25100 x 80
= 20
60% x 20
=
60100 x 20
= 12
60% x 5 u
=
60100 x 5 u
= 3 u
Owen had 244 less pens than Oscar in the end. If another 244 pens are given to Owen, both will have the same number of pens.
6 u + 72 = 2 u + 8 + 244
6 u - 2 u = 8 + 244 - 72
4 u = 180
1 u = 180 ÷ 4 = 30
Number of Owen's pens at first
= 4 u
= 4 x 30
= 120
Answer: 120
