George had 160 more stamps than Warren. George gave 25% of his stamps to Warren. Warren in return gave 60% of his stamps to George. In the end, George had 422 more stamps than Warren. How many stamps did George have at first?
| |
George |
Warren |
Comparing George
and Peter at first |
160 more |
|
| Before |
4 u + 160 |
4 u |
| Change 1 |
- 1 u - 40 |
+ 1 u + 40 |
| After 1 |
3 u + 120 |
5 u + 40 |
| Change 2 |
+ 3 u + 24 |
- 3 u - 24 |
| After 2 |
6 u + 144 |
2 u + 16 |
25% =
25100 =
1425% x 160
=
25100 x 160
= 40
60% x 40
=
60100 x 40
= 24
60% x 5 u
=
60100 x 5 u
= 3 u
George had 422 more stamps than Warren in the end. If another 422 stamps are given to Warren, both will have the same number of stamps.
6 u + 144 = 2 u + 16 + 422
6 u - 2 u = 16 + 422 - 144
14 u = 294
1 u = 294 ÷ 14 = 21
Number of George's stamps at first
= 4 u + 160
= 4 x 21 + 160
= 84 + 160
= 244
Answer: 244
