Dylan had 20% more beads than George. Dylan gave 25% of his beads to George. George in return gave 30% of his beads to Dylan. In the end, George had 418 less beads than Dylan. How many beads did George have in the end?
| |
Dylan |
George |
| Before |
120% |
100% |
| Change 1 |
- 30% |
+ 30% |
| After 1 |
90% |
130% |
| Change 2 |
+ 39% |
- 39% |
| After 2 |
129% |
91% |
Number of beads that Dylan had at first in percent
= 100% + 20%
= 120%
Number of beads that Dylan gave to George in percent
= 25% x 120%
=
25100 x 120%
= 30%
Number of beads that George gave to Dylan in percent
= 30% x 130%
=
30100 x 130%
= 39%
Number of less beads that George had than Dylan in the end
= 129% - 91%
= 38%
38% → 418
1% → 418 ÷ 38 = 11
Number of beads that George had in the end
= 91%
= 91 x 11
= 1320
Answer(s): 1320
