Carl had 50% more beads than Ryan. Carl gave 20% of his beads to Ryan. Ryan in return gave 20% of his beads to Carl. In the end, Ryan had 252 less beads than Carl. How many beads did Ryan have in the end?
| |
Carl |
Ryan |
| Before |
150% |
100% |
| Change 1 |
- 30% |
+ 30% |
| After 1 |
120% |
130% |
| Change 2 |
+ 26% |
- 26% |
| After 2 |
146% |
104% |
Number of beads that Carl had at first in percent
= 100% + 50%
= 150%
Number of beads that Carl gave to Ryan in percent
= 20% x 150%
=
20100 x 150%
= 30%
Number of beads that Ryan gave to Carl in percent
= 20% x 130%
=
20100 x 130%
= 26%
Number of less beads that Ryan had than Carl in the end
= 146% - 104%
= 42%
42% → 252
1% → 252 ÷ 42 = 6
Number of beads that Ryan had in the end
= 104%
= 104 x 6
= 900
Answer(s): 900
