Asher had 50% more balls than Billy. Asher gave 10% of his balls to Billy. Billy in return gave 40% of his balls to Asher. In the end, Billy had 1008 less balls than Asher. How many balls did Billy have in the end?
| |
Asher |
Billy |
| Before |
150% |
100% |
| Change 1 |
- 15% |
+ 15% |
| After 1 |
135% |
115% |
| Change 2 |
+ 46% |
- 46% |
| After 2 |
181% |
69% |
Number of balls that Asher had at first in percent
= 100% + 50%
= 150%
Number of balls that Asher gave to Billy in percent
= 10% x 150%
=
10100 x 150%
= 15%
Number of balls that Billy gave to Asher in percent
= 40% x 115%
=
40100 x 115%
= 46%
Number of less balls that Billy had than Asher in the end
= 181% - 69%
= 112%
112% → 1008
1% → 1008 ÷ 112 = 9
Number of balls that Billy had in the end
= 69%
= 69 x 9
= 1350
Answer(s): 1350
