Billy had 80 more beads than Ryan. Billy gave 25% of his beads to Ryan. Ryan in return gave 80% of his beads to Billy. In the end, Billy had 183 more beads than Ryan. How many beads did Billy have at first?
| |
Billy |
Ryan |
Comparing Billy
and Peter at first |
80 more |
|
| Before |
4 u + 80 |
4 u |
| Change 1 |
- 1 u - 20 |
+ 1 u + 20 |
| After 1 |
3 u + 60 |
5 u + 20 |
| Change 2 |
+ 4 u + 16 |
- 4 u - 16 |
| After 2 |
7 u + 76 |
1 u + 4 |
25% =
25100 =
1425% x 80
=
25100 x 80
= 20
80% x 20
=
80100 x 20
= 16
80% x 5 u
=
80100 x 5 u
= 4 u
Billy had 183 more beads than Ryan in the end. If another 183 beads are given to Ryan, both will have the same number of beads.
7 u + 76 = 1 u + 4 + 183
7 u - 1 u = 4 + 183 - 76
3 u = 111
1 u = 111 ÷ 3 = 37
Number of Billy's beads at first
= 4 u + 80
= 4 x 37 + 80
= 148 + 80
= 228
Answer: 228
