Bryan had 200 more stickers than Riordan. Bryan gave 20% of his stickers to Riordan. Riordan in return gave 50% of his stickers to Bryan. In the end, Bryan had 738 more stickers than Riordan. How many stickers did Bryan have at first?
| |
Bryan |
Riordan |
Comparing Bryan
and Peter at first |
200 more |
|
| Before |
5 u + 200 |
5 u |
| Change 1 |
- 1 u - 40 |
+ 1 u + 40 |
| After 1 |
4 u + 160 |
6 u + 40 |
| Change 2 |
+ 3 u + 20 |
- 3 u - 20 |
| After 2 |
7 u + 180 |
3 u + 20 |
20% =
20100 =
1520% x 200
=
20100 x 200
= 40
50% x 40
=
50100 x 40
= 20
50% x 6 u
=
50100 x 6 u
= 3 u
Bryan had 738 more stickers than Riordan in the end. If another 738 stickers are given to Riordan, both will have the same number of stickers.
7 u + 180 = 3 u + 20 + 738
7 u - 3 u = 20 + 738 - 180
17 u = 578
1 u = 578 ÷ 17 = 34
Number of Bryan's stickers at first
= 5 u + 200
= 5 x 34 + 200
= 170 + 200
= 370
Answer: 370
