Ryan had 180 more stickers than Japheth. Ryan gave 25% of his stickers to Japheth. Japheth in return gave 80% of his stickers to Ryan. In the end, Japheth had 378 less stickers than Ryan. How many stickers did Ryan have at first?
| |
Ryan |
Japheth |
Comparing Ryan
and Peter at first |
180 more |
|
| Before |
4 u + 180 |
4 u |
| Change 1 |
- 1 u - 45 |
+ 1 u + 45 |
| After 1 |
3 u + 135 |
5 u + 45 |
| Change 2 |
+ 4 u + 36 |
- 4 u - 36 |
| After 2 |
7 u + 171 |
1 u + 9 |
25% =
25100 =
1425% x 180
=
25100 x 180
= 45
80% x 45
=
80100 x 45
= 36
80% x 5 u
=
80100 x 5 u
= 4 u
Japheth had 378 less stickers than Ryan in the end. If another 378 stickers are given to Japheth, both will have the same number of stickers.
7 u + 171 = 1 u + 9 + 378
7 u - 1 u = 9 + 378 - 171
6 u = 216
1 u = 216 ÷ 6 = 27
Number of Japheth's stickers at first
= 4 u
= 4 x 27
= 108
Answer: 108
