Michael had 20% more beads than Archie. Michael gave 30% of his beads to Archie. Archie in return gave 25% of his beads to Michael. In the end, Archie had 160 less beads than Michael. How many beads did Archie have in the end?
| |
Michael |
Archie |
| Before |
120% |
100% |
| Change 1 |
- 36% |
+ 36% |
| After 1 |
84% |
136% |
| Change 2 |
+ 34% |
- 34% |
| After 2 |
118% |
102% |
Number of beads that Michael had at first in percent
= 100% + 20%
= 120%
Number of beads that Michael gave to Archie in percent
= 30% x 120%
=
30100 x 120%
= 36%
Number of beads that Archie gave to Michael in percent
= 25% x 136%
=
25100 x 136%
= 34%
Number of less beads that Archie had than Michael in the end
= 118% - 102%
= 16%
16% → 160
1% → 160 ÷ 16 = 10
Number of beads that Archie had in the end
= 102%
= 102 x 10
= 1200
Answer(s): 1200
