George had 40% more beads than Reggie. George gave 10% of his beads to Reggie. Reggie in return gave 50% of his beads to George. In the end, Reggie had 252 less beads than George. How many beads did George have at first?
| |
George |
Reggie |
| Before |
140% |
100% |
| Change 1 |
- 14% |
+ 14% |
| After 1 |
126% |
114% |
| Change 2 |
+ 57% |
- 57% |
| After 2 |
183% |
57% |
Number of beads that George had at first in percent
= 100% + 40%
= 140%
Number of beads that George gave to Reggie in percent
= 10% x 140%
=
10100 x 140%
= 14%
Number of beads that Reggie gave to George in percent
= 50% x 114%
=
50100 x 114%
= 57%
Number of less beads that Reggie had than George in the end
= 183% - 57%
= 126%
126% → 252
1% → 252 ÷ 126 = 2
Number of beads that George had at first
= 140%
= 140 x 2
= 280
Answer(s): 280
