Wesley had 200 more stamps than Will. Wesley gave 20% of his stamps to Will. Will in return gave 50% of his stamps to Wesley. In the end, Wesley had 551 more stamps than Will. How many stamps did Wesley have at first?
| |
Wesley |
Will |
Comparing Wesley
and Peter at first |
200 more |
|
| Before |
5 u + 200 |
5 u |
| Change 1 |
- 1 u - 40 |
+ 1 u + 40 |
| After 1 |
4 u + 160 |
6 u + 40 |
| Change 2 |
+ 3 u + 20 |
- 3 u - 20 |
| After 2 |
7 u + 180 |
3 u + 20 |
20% =
20100 =
1520% x 200
=
20100 x 200
= 40
50% x 40
=
50100 x 40
= 20
50% x 6 u
=
50100 x 6 u
= 3 u
Wesley had 551 more stamps than Will in the end. If another 551 stamps are given to Will, both will have the same number of stamps.
7 u + 180 = 3 u + 20 + 551
7 u - 3 u = 20 + 551 - 180
17 u = 391
1 u = 391 ÷ 17 = 23
Number of Wesley's stamps at first
= 5 u + 200
= 5 x 23 + 200
= 115 + 200
= 315
Answer: 315
