Archie had 110 more coins than Japheth. Archie gave 20% of his coins to Japheth. Japheth in return gave 50% of his coins to Archie. In the end, Archie had 400 more coins than Japheth. How many coins did Archie have at first?
| |
Archie |
Japheth |
Comparing Archie
and Peter at first |
110 more |
|
| Before |
5 u + 110 |
5 u |
| Change 1 |
- 1 u - 22 |
+ 1 u + 22 |
| After 1 |
4 u + 88 |
6 u + 22 |
| Change 2 |
+ 3 u + 11 |
- 3 u - 11 |
| After 2 |
7 u + 99 |
3 u + 11 |
20% =
20100 =
1520% x 110
=
20100 x 110
= 22
50% x 22
=
50100 x 22
= 11
50% x 6 u
=
50100 x 6 u
= 3 u
Archie had 400 more coins than Japheth in the end. If another 400 coins are given to Japheth, both will have the same number of coins.
7 u + 99 = 3 u + 11 + 400
7 u - 3 u = 11 + 400 - 99
8 u = 312
1 u = 312 ÷ 8 = 39
Number of Archie's coins at first
= 5 u + 110
= 5 x 39 + 110
= 195 + 110
= 305
Answer: 305
