Zane had 120 more stickers than Liam. Zane gave 25% of his stickers to Liam. Liam in return gave 60% of his stickers to Zane. In the end, Zane had 316 more stickers than Liam. How many stickers did Zane have at first?
| |
Zane |
Liam |
Comparing Zane
and Peter at first |
120 more |
|
| Before |
4 u + 120 |
4 u |
| Change 1 |
- 1 u - 30 |
+ 1 u + 30 |
| After 1 |
3 u + 90 |
5 u + 30 |
| Change 2 |
+ 3 u + 18 |
- 3 u - 18 |
| After 2 |
6 u + 108 |
2 u + 12 |
25% =
25100 =
1425% x 120
=
25100 x 120
= 30
60% x 30
=
60100 x 30
= 18
60% x 5 u
=
60100 x 5 u
= 3 u
Zane had 316 more stickers than Liam in the end. If another 316 stickers are given to Liam, both will have the same number of stickers.
6 u + 108 = 2 u + 12 + 316
6 u - 2 u = 12 + 316 - 108
10 u = 220
1 u = 220 ÷ 10 = 22
Number of Zane's stickers at first
= 4 u + 120
= 4 x 22 + 120
= 88 + 120
= 208
Answer: 208
