Reggie had 20% more beads than David. Reggie gave 30% of his beads to David. David in return gave 25% of his beads to Reggie. In the end, David had 176 less beads than Reggie. How many beads did Reggie have at first?
| |
Reggie |
David |
| Before |
120% |
100% |
| Change 1 |
- 36% |
+ 36% |
| After 1 |
84% |
136% |
| Change 2 |
+ 34% |
- 34% |
| After 2 |
118% |
102% |
Number of beads that Reggie had at first in percent
= 100% + 20%
= 120%
Number of beads that Reggie gave to David in percent
= 30% x 120%
=
30100 x 120%
= 36%
Number of beads that David gave to Reggie in percent
= 25% x 136%
=
25100 x 136%
= 34%
Number of less beads that David had than Reggie in the end
= 118% - 102%
= 16%
16% → 176
1% → 176 ÷ 16 = 11
Number of beads that Reggie had at first
= 120%
= 120 x 11
= 1320
Answer(s): 1320
