Tim had 60 more stickers than Mark. Tim gave 20% of his stickers to Mark. Mark in return gave 50% of his stickers to Tim. In the end, Tim had 129 more stickers than Mark. How many stickers did Tim have at first?
| |
Tim |
Mark |
Comparing Tim
and Peter at first |
60 more |
|
| Before |
5 u + 60 |
5 u |
| Change 1 |
- 1 u - 12 |
+ 1 u + 12 |
| After 1 |
4 u + 48 |
6 u + 12 |
| Change 2 |
+ 3 u + 6 |
- 3 u - 6 |
| After 2 |
7 u + 54 |
3 u + 6 |
20% =
20100 =
1520% x 60
=
20100 x 60
= 12
50% x 12
=
50100 x 12
= 6
50% x 6 u
=
50100 x 6 u
= 3 u
Tim had 129 more stickers than Mark in the end. If another 129 stickers are given to Mark, both will have the same number of stickers.
7 u + 54 = 3 u + 6 + 129
7 u - 3 u = 6 + 129 - 54
3 u = 81
1 u = 81 ÷ 3 = 27
Number of Tim's stickers at first
= 5 u + 60
= 5 x 27 + 60
= 135 + 60
= 195
Answer: 195
