Flynn had 50% more beads than Xavier. Flynn gave 10% of his beads to Xavier. Xavier in return gave 40% of his beads to Flynn. In the end, Xavier had 448 less beads than Flynn. How many beads did Flynn have at first?
| |
Flynn |
Xavier |
| Before |
150% |
100% |
| Change 1 |
- 15% |
+ 15% |
| After 1 |
135% |
115% |
| Change 2 |
+ 46% |
- 46% |
| After 2 |
181% |
69% |
Number of beads that Flynn had at first in percent
= 100% + 50%
= 150%
Number of beads that Flynn gave to Xavier in percent
= 10% x 150%
=
10100 x 150%
= 15%
Number of beads that Xavier gave to Flynn in percent
= 40% x 115%
=
40100 x 115%
= 46%
Number of less beads that Xavier had than Flynn in the end
= 181% - 69%
= 112%
112% → 448
1% → 448 ÷ 112 = 4
Number of beads that Flynn had at first
= 150%
= 150 x 4
= 600
Answer(s): 600
