Ethan had 70 more coins than Reggie. Ethan gave 20% of his coins to Reggie. Reggie in return gave 50% of his coins to Ethan. In the end, Reggie had 168 less coins than Ethan. How many coins did Ethan have at first?
| |
Ethan |
Reggie |
Comparing Ethan
and Peter at first |
70 more |
|
| Before |
5 u + 70 |
5 u |
| Change 1 |
- 1 u - 14 |
+ 1 u + 14 |
| After 1 |
4 u + 56 |
6 u + 14 |
| Change 2 |
+ 3 u + 7 |
- 3 u - 7 |
| After 2 |
7 u + 63 |
3 u + 7 |
20% =
20100 =
1520% x 70
=
20100 x 70
= 14
50% x 14
=
50100 x 14
= 7
50% x 6 u
=
50100 x 6 u
= 3 u
Reggie had 168 less coins than Ethan in the end. If another 168 coins are given to Reggie, both will have the same number of coins.
7 u + 63 = 3 u + 7 + 168
7 u - 3 u = 7 + 168 - 63
4 u = 112
1 u = 112 ÷ 4 = 28
Number of Reggie's coins at first
= 5 u
= 5 x 28
= 140
Answer: 140
