Ethan had 130 more coins than Paul. Ethan gave 20% of his coins to Paul. Paul in return gave 50% of his coins to Ethan. In the end, Paul had 304 less coins than Ethan. How many coins did Ethan have at first?
| |
Ethan |
Paul |
Comparing Ethan
and Peter at first |
130 more |
|
| Before |
5 u + 130 |
5 u |
| Change 1 |
- 1 u - 26 |
+ 1 u + 26 |
| After 1 |
4 u + 104 |
6 u + 26 |
| Change 2 |
+ 3 u + 13 |
- 3 u - 13 |
| After 2 |
7 u + 117 |
3 u + 13 |
20% =
20100 =
1520% x 130
=
20100 x 130
= 26
50% x 26
=
50100 x 26
= 13
50% x 6 u
=
50100 x 6 u
= 3 u
Paul had 304 less coins than Ethan in the end. If another 304 coins are given to Paul, both will have the same number of coins.
7 u + 117 = 3 u + 13 + 304
7 u - 3 u = 13 + 304 - 117
4 u = 200
1 u = 200 ÷ 4 = 20
Number of Paul's coins at first
= 5 u
= 5 x 20
= 100
Answer: 100
