Tim had 140 more stickers than Simon. Tim gave 20% of his stickers to Simon. Simon in return gave 50% of his stickers to Tim. In the end, Tim had 398 more stickers than Simon. How many stickers did Tim have at first?
| |
Tim |
Simon |
Comparing Tim
and Peter at first |
140 more |
|
| Before |
5 u + 140 |
5 u |
| Change 1 |
- 1 u - 28 |
+ 1 u + 28 |
| After 1 |
4 u + 112 |
6 u + 28 |
| Change 2 |
+ 3 u + 14 |
- 3 u - 14 |
| After 2 |
7 u + 126 |
3 u + 14 |
20% =
20100 =
1520% x 140
=
20100 x 140
= 28
50% x 28
=
50100 x 28
= 14
50% x 6 u
=
50100 x 6 u
= 3 u
Tim had 398 more stickers than Simon in the end. If another 398 stickers are given to Simon, both will have the same number of stickers.
7 u + 126 = 3 u + 14 + 398
7 u - 3 u = 14 + 398 - 126
11 u = 286
1 u = 286 ÷ 11 = 26
Number of Tim's stickers at first
= 5 u + 140
= 5 x 26 + 140
= 130 + 140
= 270
Answer: 270
