Julian had 20% more beads than Fred. Julian gave 10% of his beads to Fred. Fred in return gave 50% of his beads to Julian. In the end, Fred had 1080 less beads than Julian. How many beads did Fred have in the end?
| |
Julian |
Fred |
| Before |
120% |
100% |
| Change 1 |
- 12% |
+ 12% |
| After 1 |
108% |
112% |
| Change 2 |
+ 56% |
- 56% |
| After 2 |
164% |
56% |
Number of beads that Julian had at first in percent
= 100% + 20%
= 120%
Number of beads that Julian gave to Fred in percent
= 10% x 120%
=
10100 x 120%
= 12%
Number of beads that Fred gave to Julian in percent
= 50% x 112%
=
50100 x 112%
= 56%
Number of less beads that Fred had than Julian in the end
= 164% - 56%
= 108%
108% → 1080
1% → 1080 ÷ 108 = 10
Number of beads that Fred had in the end
= 56%
= 56 x 10
= 1200
Answer(s): 1200
