Caden had 40% more beads than Mark. Caden gave 30% of his beads to Mark. Mark in return gave 50% of his beads to Caden. In the end, Mark had 392 less beads than Caden. How many beads did Caden have at first?
| |
Caden |
Mark |
| Before |
140% |
100% |
| Change 1 |
- 42% |
+ 42% |
| After 1 |
98% |
142% |
| Change 2 |
+ 71% |
- 71% |
| After 2 |
169% |
71% |
Number of beads that Caden had at first in percent
= 100% + 40%
= 140%
Number of beads that Caden gave to Mark in percent
= 30% x 140%
=
30100 x 140%
= 42%
Number of beads that Mark gave to Caden in percent
= 50% x 142%
=
50100 x 142%
= 71%
Number of less beads that Mark had than Caden in the end
= 169% - 71%
= 98%
98% → 392
1% → 392 ÷ 98 = 4
Number of beads that Caden had at first
= 140%
= 140 x 4
= 560
Answer(s): 560
