Jenson had 20% more beads than Harry. Jenson gave 25% of his beads to Harry. Harry in return gave 30% of his beads to Jenson. In the end, Harry had 456 less beads than Jenson. How many beads did Jenson have at first?
| |
Jenson |
Harry |
| Before |
120% |
100% |
| Change 1 |
- 30% |
+ 30% |
| After 1 |
90% |
130% |
| Change 2 |
+ 39% |
- 39% |
| After 2 |
129% |
91% |
Number of beads that Jenson had at first in percent
= 100% + 20%
= 120%
Number of beads that Jenson gave to Harry in percent
= 25% x 120%
=
25100 x 120%
= 30%
Number of beads that Harry gave to Jenson in percent
= 30% x 130%
=
30100 x 130%
= 39%
Number of less beads that Harry had than Jenson in the end
= 129% - 91%
= 38%
38% → 456
1% → 456 ÷ 38 = 12
Number of beads that Jenson had at first
= 120%
= 120 x 12
= 1440
Answer(s): 1440
