Luke had 20% more balls than Nick. Luke gave 25% of his balls to Nick. Nick in return gave 20% of his balls to Luke. In the end, Nick had 144 less balls than Luke. How many balls did Luke have at first?
| |
Luke |
Nick |
| Before |
120% |
100% |
| Change 1 |
- 30% |
+ 30% |
| After 1 |
90% |
130% |
| Change 2 |
+ 26% |
- 26% |
| After 2 |
116% |
104% |
Number of balls that Luke had at first in percent
= 100% + 20%
= 120%
Number of balls that Luke gave to Nick in percent
= 25% x 120%
=
25100 x 120%
= 30%
Number of balls that Nick gave to Luke in percent
= 20% x 130%
=
20100 x 130%
= 26%
Number of less balls that Nick had than Luke in the end
= 116% - 104%
= 12%
12% → 144
1% → 144 ÷ 12 = 12
Number of balls that Luke had at first
= 120%
= 120 x 12
= 1440
Answer(s): 1440
