Bryan had 160 more beads than Tom. Bryan gave 25% of his beads to Tom. Tom in return gave 80% of his beads to Bryan. In the end, Bryan had 333 more beads than Tom. How many beads did Bryan have at first?
| |
Bryan |
Tom |
Comparing Bryan
and Peter at first |
160 more |
|
| Before |
4 u + 160 |
4 u |
| Change 1 |
- 1 u - 40 |
+ 1 u + 40 |
| After 1 |
3 u + 120 |
5 u + 40 |
| Change 2 |
+ 4 u + 32 |
- 4 u - 32 |
| After 2 |
7 u + 152 |
1 u + 8 |
25% =
25100 =
1425% x 160
=
25100 x 160
= 40
80% x 40
=
80100 x 40
= 32
80% x 5 u
=
80100 x 5 u
= 4 u
Bryan had 333 more beads than Tom in the end. If another 333 beads are given to Tom, both will have the same number of beads.
7 u + 152 = 1 u + 8 + 333
7 u - 1 u = 8 + 333 - 152
7 u = 189
1 u = 189 ÷ 7 = 27
Number of Bryan's beads at first
= 4 u + 160
= 4 x 27 + 160
= 108 + 160
= 268
Answer: 268
