Liam had 40% more balls than Valen. Liam gave 10% of his balls to Valen. Valen in return gave 50% of his balls to Liam. In the end, Valen had 1008 less balls than Liam. How many balls did Valen have in the end?
| |
Liam |
Valen |
| Before |
140% |
100% |
| Change 1 |
- 14% |
+ 14% |
| After 1 |
126% |
114% |
| Change 2 |
+ 57% |
- 57% |
| After 2 |
183% |
57% |
Number of balls that Liam had at first in percent
= 100% + 40%
= 140%
Number of balls that Liam gave to Valen in percent
= 10% x 140%
=
10100 x 140%
= 14%
Number of balls that Valen gave to Liam in percent
= 50% x 114%
=
50100 x 114%
= 57%
Number of less balls that Valen had than Liam in the end
= 183% - 57%
= 126%
126% → 1008
1% → 1008 ÷ 126 = 8
Number of balls that Valen had in the end
= 57%
= 57 x 8
= 1120
Answer(s): 1120
