Jeremy had 120 more stamps than Bryan. Jeremy gave 25% of his stamps to Bryan. Bryan in return gave 60% of his stamps to Jeremy. In the end, Bryan had 486 less stamps than Jeremy. How many stamps did Jeremy have at first?
| |
Jeremy |
Bryan |
Comparing Jeremy
and Peter at first |
120 more |
|
| Before |
4 u + 120 |
4 u |
| Change 1 |
- 1 u - 30 |
+ 1 u + 30 |
| After 1 |
3 u + 90 |
5 u + 30 |
| Change 2 |
+ 3 u + 18 |
- 3 u - 18 |
| After 2 |
6 u + 108 |
2 u + 12 |
25% =
25100 =
1425% x 120
=
25100 x 120
= 30
60% x 30
=
60100 x 30
= 18
60% x 5 u
=
60100 x 5 u
= 3 u
Bryan had 486 less stamps than Jeremy in the end. If another 486 stamps are given to Bryan, both will have the same number of stamps.
6 u + 108 = 2 u + 12 + 486
6 u - 2 u = 12 + 486 - 108
4 u = 390
1 u = 390 ÷ 4 = 39
Number of Bryan's stamps at first
= 4 u
= 4 x 39
= 156
Answer: 156
