Glen had 40% more balls than Ian. Glen gave 20% of his balls to Ian. Ian in return gave 25% of his balls to Glen. In the end, Ian had 480 less balls than Glen. How many balls did Ian have in the end?
| |
Glen |
Ian |
| Before |
140% |
100% |
| Change 1 |
- 28% |
+ 28% |
| After 1 |
112% |
128% |
| Change 2 |
+ 32% |
- 32% |
| After 2 |
144% |
96% |
Number of balls that Glen had at first in percent
= 100% + 40%
= 140%
Number of balls that Glen gave to Ian in percent
= 20% x 140%
=
20100 x 140%
= 28%
Number of balls that Ian gave to Glen in percent
= 25% x 128%
=
25100 x 128%
= 32%
Number of less balls that Ian had than Glen in the end
= 144% - 96%
= 48%
48% → 480
1% → 480 ÷ 48 = 10
Number of balls that Ian had in the end
= 96%
= 96 x 10
= 1400
Answer(s): 1400
