Flynn had 70 more stamps than Bryan. Flynn gave 20% of his stamps to Bryan. Bryan in return gave 50% of his stamps to Flynn. In the end, Bryan had 148 less stamps than Flynn. How many stamps did Flynn have at first?
|
Flynn |
Bryan |
Comparing Flynn 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
Bryan had 148 less stamps than Flynn in the end. If another 148 stamps are given to Bryan, both will have the same number of stamps.
7 u + 63 = 3 u + 7 + 148
7 u - 3 u = 7 + 148 - 63
4 u = 92
1 u = 92 ÷ 4 = 23
Number of Bryan's stamps at first
= 5 u
= 5 x 23
= 115
Answer: 115