Reggie had 150 more beads than Nick. Reggie gave 20% of his beads to Nick. Nick in return gave 50% of his beads to Reggie. In the end, Nick had 600 less beads than Reggie. How many beads did Reggie have at first?
| |
Reggie |
Nick |
Comparing Reggie
and Peter at first |
150 more |
|
| Before |
5 u + 150 |
5 u |
| Change 1 |
- 1 u - 30 |
+ 1 u + 30 |
| After 1 |
4 u + 120 |
6 u + 30 |
| Change 2 |
+ 3 u + 15 |
- 3 u - 15 |
| After 2 |
7 u + 135 |
3 u + 15 |
20% =
20100 =
1520% x 150
=
20100 x 150
= 30
50% x 30
=
50100 x 30
= 15
50% x 6 u
=
50100 x 6 u
= 3 u
Nick had 600 less beads than Reggie in the end. If another 600 beads are given to Nick, both will have the same number of beads.
7 u + 135 = 3 u + 15 + 600
7 u - 3 u = 15 + 600 - 135
4 u = 480
1 u = 480 ÷ 4 = 40
Number of Nick's beads at first
= 5 u
= 5 x 40
= 200
Answer: 200
