Perry had 40% more beads than Julian. Perry gave 20% of his beads to Julian. Julian in return gave 50% of his beads to Perry. In the end, Julian had 560 less beads than Perry. How many beads did Julian have in the end?
| |
Perry |
Julian |
| Before |
140% |
100% |
| Change 1 |
- 28% |
+ 28% |
| After 1 |
112% |
128% |
| Change 2 |
+ 64% |
- 64% |
| After 2 |
176% |
64% |
Number of beads that Perry had at first in percent
= 100% + 40%
= 140%
Number of beads that Perry gave to Julian in percent
= 20% x 140%
=
20100 x 140%
= 28%
Number of beads that Julian gave to Perry in percent
= 50% x 128%
=
50100 x 128%
= 64%
Number of less beads that Julian had than Perry in the end
= 176% - 64%
= 112%
112% → 560
1% → 560 ÷ 112 = 5
Number of beads that Julian had in the end
= 64%
= 64 x 5
= 700
Answer(s): 700
