Carl had 180 more stickers than Tom. Carl gave 20% of his stickers to Tom. Tom in return gave 50% of his stickers to Carl. In the end, Tom had 714 less stickers than Carl. How many stickers did Carl have at first?
| |
Carl |
Tom |
Comparing Carl
and Peter at first |
180 more |
|
| Before |
5 u + 180 |
5 u |
| Change 1 |
- 1 u - 36 |
+ 1 u + 36 |
| After 1 |
4 u + 144 |
6 u + 36 |
| Change 2 |
+ 3 u + 18 |
- 3 u - 18 |
| After 2 |
7 u + 162 |
3 u + 18 |
20% =
20100 =
1520% x 180
=
20100 x 180
= 36
50% x 36
=
50100 x 36
= 18
50% x 6 u
=
50100 x 6 u
= 3 u
Tom had 714 less stickers than Carl in the end. If another 714 stickers are given to Tom, both will have the same number of stickers.
7 u + 162 = 3 u + 18 + 714
7 u - 3 u = 18 + 714 - 162
4 u = 570
1 u = 570 ÷ 4 = 38
Number of Tom's stickers at first
= 5 u
= 5 x 38
= 190
Answer: 190
