Brandon had 200 more stamps than Gabriel. Brandon gave 25% of his stamps to Gabriel. Gabriel in return gave 80% of his stamps to Brandon. In the end, Gabriel had 378 less stamps than Brandon. How many stamps did Brandon have at first?
| |
Brandon |
Gabriel |
Comparing Brandon
and Peter at first |
200 more |
|
| Before |
4 u + 200 |
4 u |
| Change 1 |
- 1 u - 50 |
+ 1 u + 50 |
| After 1 |
3 u + 150 |
5 u + 50 |
| Change 2 |
+ 4 u + 40 |
- 4 u - 40 |
| After 2 |
7 u + 190 |
1 u + 10 |
25% =
25100 =
1425% x 200
=
25100 x 200
= 50
80% x 50
=
80100 x 50
= 40
80% x 5 u
=
80100 x 5 u
= 4 u
Gabriel had 378 less stamps than Brandon in the end. If another 378 stamps are given to Gabriel, both will have the same number of stamps.
7 u + 190 = 1 u + 10 + 378
7 u - 1 u = 10 + 378 - 190
6 u = 198
1 u = 198 ÷ 6 = 22
Number of Gabriel's stamps at first
= 4 u
= 4 x 22
= 88
Answer: 88
