Charlie had 200 more coins than Tim. Charlie gave 20% of his coins to Tim. Tim in return gave 50% of his coins to Charlie. In the end, Charlie had 636 more coins than Tim. How many coins did Charlie have at first?
| |
Charlie |
Tim |
Comparing Charlie
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
Charlie had 636 more coins than Tim in the end. If another 636 coins are given to Tim, both will have the same number of coins.
7 u + 180 = 3 u + 20 + 636
7 u - 3 u = 20 + 636 - 180
17 u = 476
1 u = 476 ÷ 17 = 28
Number of Charlie's coins at first
= 5 u + 200
= 5 x 28 + 200
= 140 + 200
= 340
Answer: 340
