Julian had 140 more stickers than Jeremy. Julian gave 20% of his stickers to Jeremy. Jeremy in return gave 50% of his stickers to Julian. In the end, Jeremy had 442 less stickers than Julian. How many stickers did Julian have at first?
| |
Julian |
Jeremy |
Comparing Julian
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
Jeremy had 442 less stickers than Julian in the end. If another 442 stickers are given to Jeremy, both will have the same number of stickers.
7 u + 126 = 3 u + 14 + 442
7 u - 3 u = 14 + 442 - 126
4 u = 330
1 u = 330 ÷ 4 = 30
Number of Jeremy's stickers at first
= 5 u
= 5 x 30
= 150
Answer: 150
