Oliver had 20% more balls than Cole. Oliver gave 25% of his balls to Cole. Cole in return gave 30% of his balls to Oliver. In the end, Cole had 152 less balls than Oliver. How many balls did Oliver have at first?
| |
Oliver |
Cole |
| Before |
120% |
100% |
| Change 1 |
- 30% |
+ 30% |
| After 1 |
90% |
130% |
| Change 2 |
+ 39% |
- 39% |
| After 2 |
129% |
91% |
Number of balls that Oliver had at first in percent
= 100% + 20%
= 120%
Number of balls that Oliver gave to Cole in percent
= 25% x 120%
=
25100 x 120%
= 30%
Number of balls that Cole gave to Oliver in percent
= 30% x 130%
=
30100 x 130%
= 39%
Number of less balls that Cole had than Oliver in the end
= 129% - 91%
= 38%
38% → 152
1% → 152 ÷ 38 = 4
Number of balls that Oliver had at first
= 120%
= 120 x 4
= 480
Answer(s): 480
