Vaidev had 200 more beads than Brandon. Vaidev gave 20% of his beads to Brandon. Brandon in return gave 50% of his beads to Vaidev. In the end, Brandon had 551 less beads than Vaidev. How many beads did Vaidev have at first?
| |
Vaidev |
Brandon |
Comparing Vaidev
and Peter at first |
200 more |
|
| Before |
5 u + 200 |
5 u |
| Change 1 |
- 1 u - 40 |
+ 1 u + 40 |
| After 1 |
4 u + 160 |
6 u + 40 |
| Change 2 |
+ 3 u + 20 |
- 3 u - 20 |
| After 2 |
7 u + 180 |
3 u + 20 |
20% =
20100 =
1520% x 200
=
20100 x 200
= 40
50% x 40
=
50100 x 40
= 20
50% x 6 u
=
50100 x 6 u
= 3 u
Brandon had 551 less beads than Vaidev in the end. If another 551 beads are given to Brandon, both will have the same number of beads.
7 u + 180 = 3 u + 20 + 551
7 u - 3 u = 20 + 551 - 180
4 u = 391
1 u = 391 ÷ 4 = 23
Number of Brandon's beads at first
= 5 u
= 5 x 23
= 115
Answer: 115
