Henry had 50% more beads than Mark. Henry gave 20% of his beads to Mark. Mark in return gave 10% of his beads to Henry. In the end, Mark had 48 less beads than Henry. How many beads did Henry have at first?
| |
Henry |
Mark |
| Before |
150% |
100% |
| Change 1 |
- 30% |
+ 30% |
| After 1 |
120% |
130% |
| Change 2 |
+ 13% |
- 13% |
| After 2 |
133% |
117% |
Number of beads that Henry had at first in percent
= 100% + 50%
= 150%
Number of beads that Henry gave to Mark in percent
= 20% x 150%
=
20100 x 150%
= 30%
Number of beads that Mark gave to Henry in percent
= 10% x 130%
=
10100 x 130%
= 13%
Number of less beads that Mark had than Henry in the end
= 133% - 117%
= 16%
16% → 48
1% → 48 ÷ 16 = 3
Number of beads that Henry had at first
= 150%
= 150 x 3
= 450
Answer(s): 450
