Mark had 40% more beads than Perry. Mark gave 10% of his beads to Perry. Perry in return gave 50% of his beads to Mark. In the end, Perry had 882 less beads than Mark. How many beads did Mark have at first?
| |
Mark |
Perry |
| Before |
140% |
100% |
| Change 1 |
- 14% |
+ 14% |
| After 1 |
126% |
114% |
| Change 2 |
+ 57% |
- 57% |
| After 2 |
183% |
57% |
Number of beads that Mark had at first in percent
= 100% + 40%
= 140%
Number of beads that Mark gave to Perry in percent
= 10% x 140%
=
10100 x 140%
= 14%
Number of beads that Perry gave to Mark in percent
= 50% x 114%
=
50100 x 114%
= 57%
Number of less beads that Perry had than Mark in the end
= 183% - 57%
= 126%
126% → 882
1% → 882 ÷ 126 = 7
Number of beads that Mark had at first
= 140%
= 140 x 7
= 980
Answer(s): 980
