Tommy had 160 more stamps than Bryan. Tommy gave 25% of his stamps to Bryan. Bryan in return gave 80% of his stamps to Tommy. In the end, Bryan had 312 less stamps than Tommy. How many stamps did Tommy have at first?
| |
Tommy |
Bryan |
Comparing Tommy
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 |
+ 4 u + 32 |
- 4 u - 32 |
| After 2 |
7 u + 152 |
1 u + 8 |
25% =
25100 =
1425% x 160
=
25100 x 160
= 40
80% x 40
=
80100 x 40
= 32
80% x 5 u
=
80100 x 5 u
= 4 u
Bryan had 312 less stamps than Tommy in the end. If another 312 stamps are given to Bryan, both will have the same number of stamps.
7 u + 152 = 1 u + 8 + 312
7 u - 1 u = 8 + 312 - 152
6 u = 168
1 u = 168 ÷ 6 = 24
Number of Bryan's stamps at first
= 4 u
= 4 x 24
= 96
Answer: 96
