Charlie had 60 more stamps than Daniel. Charlie gave 25% of his stamps to Daniel. Daniel in return gave 80% of his stamps to Charlie. In the end, Charlie had 100 more stamps than Daniel. How many stamps did Charlie have at first?
| |
Charlie |
Daniel |
Comparing Charlie
and Peter at first |
60 more |
|
| Before |
4 u + 60 |
4 u |
| Change 1 |
- 1 u - 15 |
+ 1 u + 15 |
| After 1 |
3 u + 45 |
5 u + 15 |
| Change 2 |
+ 4 u + 12 |
- 4 u - 12 |
| After 2 |
7 u + 57 |
1 u + 3 |
25% =
25100 =
1425% x 60
=
25100 x 60
= 15
80% x 15
=
80100 x 15
= 12
80% x 5 u
=
80100 x 5 u
= 4 u
Charlie had 100 more stamps than Daniel in the end. If another 100 stamps are given to Daniel, both will have the same number of stamps.
7 u + 57 = 1 u + 3 + 100
7 u - 1 u = 3 + 100 - 57
2 u = 46
1 u = 46 ÷ 2 = 23
Number of Charlie's stamps at first
= 4 u + 60
= 4 x 23 + 60
= 92 + 60
= 152
Answer: 152
