Michael had 40% more balls than Owen. Michael gave 25% of his balls to Owen. Owen in return gave 40% of his balls to Michael. In the end, Owen had 702 less balls than Michael. How many balls did Owen have in the end?
| |
Michael |
Owen |
| Before |
140% |
100% |
| Change 1 |
- 35% |
+ 35% |
| After 1 |
105% |
135% |
| Change 2 |
+ 54% |
- 54% |
| After 2 |
159% |
81% |
Number of balls that Michael had at first in percent
= 100% + 40%
= 140%
Number of balls that Michael gave to Owen in percent
= 25% x 140%
=
25100 x 140%
= 35%
Number of balls that Owen gave to Michael in percent
= 40% x 135%
=
40100 x 135%
= 54%
Number of less balls that Owen had than Michael in the end
= 159% - 81%
= 78%
78% → 702
1% → 702 ÷ 78 = 9
Number of balls that Owen had in the end
= 81%
= 81 x 9
= 1260
Answer(s): 1260
