Liam had 170 more beads than Luke. Liam gave 20% of his beads to Luke. Luke in return gave 50% of his beads to Liam. In the end, Luke had 556 less beads than Liam. How many beads did Liam have at first?
| |
Liam |
Luke |
Comparing Liam
and Peter at first |
170 more |
|
| Before |
5 u + 170 |
5 u |
| Change 1 |
- 1 u - 34 |
+ 1 u + 34 |
| After 1 |
4 u + 136 |
6 u + 34 |
| Change 2 |
+ 3 u + 17 |
- 3 u - 17 |
| After 2 |
7 u + 153 |
3 u + 17 |
20% =
20100 =
1520% x 170
=
20100 x 170
= 34
50% x 34
=
50100 x 34
= 17
50% x 6 u
=
50100 x 6 u
= 3 u
Luke had 556 less beads than Liam in the end. If another 556 beads are given to Luke, both will have the same number of beads.
7 u + 153 = 3 u + 17 + 556
7 u - 3 u = 17 + 556 - 153
4 u = 420
1 u = 420 ÷ 4 = 30
Number of Luke's beads at first
= 5 u
= 5 x 30
= 150
Answer: 150
