Daniel had 40% more beads than Albert. Daniel gave 20% of his beads to Albert. Albert in return gave 50% of his beads to Daniel. In the end, Albert had 896 less beads than Daniel. How many beads did Daniel have at first?
| |
Daniel |
Albert |
| Before |
140% |
100% |
| Change 1 |
- 28% |
+ 28% |
| After 1 |
112% |
128% |
| Change 2 |
+ 64% |
- 64% |
| After 2 |
176% |
64% |
Number of beads that Daniel had at first in percent
= 100% + 40%
= 140%
Number of beads that Daniel gave to Albert in percent
= 20% x 140%
=
20100 x 140%
= 28%
Number of beads that Albert gave to Daniel in percent
= 50% x 128%
=
50100 x 128%
= 64%
Number of less beads that Albert had than Daniel in the end
= 176% - 64%
= 112%
112% → 896
1% → 896 ÷ 112 = 8
Number of beads that Daniel had at first
= 140%
= 140 x 8
= 1120
Answer(s): 1120
