Daniel had 100 more stamps than Vincent. Daniel gave 20% of his stamps to Vincent. Vincent in return gave 50% of his stamps to Daniel. In the end, Daniel had 227 more stamps than Vincent. How many stamps did Daniel have at first?
| |
Daniel |
Vincent |
Comparing Daniel
and Peter at first |
100 more |
|
| Before |
5 u + 100 |
5 u |
| Change 1 |
- 1 u - 20 |
+ 1 u + 20 |
| After 1 |
4 u + 80 |
6 u + 20 |
| Change 2 |
+ 3 u + 10 |
- 3 u - 10 |
| After 2 |
7 u + 90 |
3 u + 10 |
20% =
20100 =
1520% x 100
=
20100 x 100
= 20
50% x 20
=
50100 x 20
= 10
50% x 6 u
=
50100 x 6 u
= 3 u
Daniel had 227 more stamps than Vincent in the end. If another 227 stamps are given to Vincent, both will have the same number of stamps.
7 u + 90 = 3 u + 10 + 227
7 u - 3 u = 10 + 227 - 90
7 u = 147
1 u = 147 ÷ 7 = 21
Number of Daniel's stamps at first
= 5 u + 100
= 5 x 21 + 100
= 105 + 100
= 205
Answer: 205
