Owen had 50 more stamps than Riordan. Owen gave 20% of his stamps to Riordan. Riordan in return gave 50% of his stamps to Owen. In the end, Riordan had 92 less stamps than Owen. How many stamps did Owen have at first?
| |
Owen |
Riordan |
Comparing Owen
and Peter at first |
50 more |
|
| Before |
5 u + 50 |
5 u |
| Change 1 |
- 1 u - 10 |
+ 1 u + 10 |
| After 1 |
4 u + 40 |
6 u + 10 |
| Change 2 |
+ 3 u + 5 |
- 3 u - 5 |
| After 2 |
7 u + 45 |
3 u + 5 |
20% =
20100 =
1520% x 50
=
20100 x 50
= 10
50% x 10
=
50100 x 10
= 5
50% x 6 u
=
50100 x 6 u
= 3 u
Riordan had 92 less stamps than Owen in the end. If another 92 stamps are given to Riordan, both will have the same number of stamps.
7 u + 45 = 3 u + 5 + 92
7 u - 3 u = 5 + 92 - 45
4 u = 52
1 u = 52 ÷ 4 = 26
Number of Riordan's stamps at first
= 5 u
= 5 x 26
= 130
Answer: 130
