Ken had 20% more beads than Billy. Ken gave 30% of his beads to Billy. Billy in return gave 50% of his beads to Ken. In the end, Billy had 252 less beads than Ken. How many beads did Ken have at first?
| |
Ken |
Billy |
| Before |
120% |
100% |
| Change 1 |
- 36% |
+ 36% |
| After 1 |
84% |
136% |
| Change 2 |
+ 68% |
- 68% |
| After 2 |
152% |
68% |
Number of beads that Ken had at first in percent
= 100% + 20%
= 120%
Number of beads that Ken gave to Billy in percent
= 30% x 120%
=
30100 x 120%
= 36%
Number of beads that Billy gave to Ken in percent
= 50% x 136%
=
50100 x 136%
= 68%
Number of less beads that Billy had than Ken in the end
= 152% - 68%
= 84%
84% → 252
1% → 252 ÷ 84 = 3
Number of beads that Ken had at first
= 120%
= 120 x 3
= 360
Answer(s): 360
