Fabian had 50% more beads than Tim. Fabian gave 20% of his beads to Tim. Tim in return gave 40% of his beads to Fabian. In the end, Tim had 752 less beads than Fabian. How many beads did Tim have in the end?
| |
Fabian |
Tim |
| Before |
150% |
100% |
| Change 1 |
- 30% |
+ 30% |
| After 1 |
120% |
130% |
| Change 2 |
+ 52% |
- 52% |
| After 2 |
172% |
78% |
Number of beads that Fabian had at first in percent
= 100% + 50%
= 150%
Number of beads that Fabian gave to Tim in percent
= 20% x 150%
=
20100 x 150%
= 30%
Number of beads that Tim gave to Fabian in percent
= 40% x 130%
=
40100 x 130%
= 52%
Number of less beads that Tim had than Fabian in the end
= 172% - 78%
= 94%
94% → 752
1% → 752 ÷ 94 = 8
Number of beads that Tim had in the end
= 78%
= 78 x 8
= 1200
Answer(s): 1200
