Henry had 20% more beads than Oliver. Henry gave 25% of his beads to Oliver. Oliver in return gave 20% of his beads to Henry. In the end, Oliver had 108 less beads than Henry. How many beads did Henry have at first?
| |
Henry |
Oliver |
| Before |
120% |
100% |
| Change 1 |
- 30% |
+ 30% |
| After 1 |
90% |
130% |
| Change 2 |
+ 26% |
- 26% |
| After 2 |
116% |
104% |
Number of beads that Henry had at first in percent
= 100% + 20%
= 120%
Number of beads that Henry gave to Oliver in percent
= 25% x 120%
=
25100 x 120%
= 30%
Number of beads that Oliver gave to Henry in percent
= 20% x 130%
=
20100 x 130%
= 26%
Number of less beads that Oliver had than Henry in the end
= 116% - 104%
= 12%
12% → 108
1% → 108 ÷ 12 = 9
Number of beads that Henry had at first
= 120%
= 120 x 9
= 1080
Answer(s): 1080
