Tom had 190 more stickers than Owen. Tom gave 20% of his stickers to Owen. Owen in return gave 50% of his stickers to Tom. In the end, Tom had 584 more stickers than Owen. How many stickers did Tom have at first?
| |
Tom |
Owen |
Comparing Tom
and Peter at first |
190 more |
|
| Before |
5 u + 190 |
5 u |
| Change 1 |
- 1 u - 38 |
+ 1 u + 38 |
| After 1 |
4 u + 152 |
6 u + 38 |
| Change 2 |
+ 3 u + 19 |
- 3 u - 19 |
| After 2 |
7 u + 171 |
3 u + 19 |
20% =
20100 =
1520% x 190
=
20100 x 190
= 38
50% x 38
=
50100 x 38
= 19
50% x 6 u
=
50100 x 6 u
= 3 u
Tom had 584 more stickers than Owen in the end. If another 584 stickers are given to Owen, both will have the same number of stickers.
7 u + 171 = 3 u + 19 + 584
7 u - 3 u = 19 + 584 - 171
16 u = 432
1 u = 432 ÷ 16 = 27
Number of Tom's stickers at first
= 5 u + 190
= 5 x 27 + 190
= 135 + 190
= 325
Answer: 325
