Ben had 50% more balls than Jenson. Ben gave 20% of his balls to Jenson. Jenson in return gave 20% of his balls to Ben. In the end, Jenson had 84 less balls than Ben. How many balls did Ben have at first?
| |
Ben |
Jenson |
| Before |
150% |
100% |
| Change 1 |
- 30% |
+ 30% |
| After 1 |
120% |
130% |
| Change 2 |
+ 26% |
- 26% |
| After 2 |
146% |
104% |
Number of balls that Ben had at first in percent
= 100% + 50%
= 150%
Number of balls that Ben gave to Jenson in percent
= 20% x 150%
=
20100 x 150%
= 30%
Number of balls that Jenson gave to Ben in percent
= 20% x 130%
=
20100 x 130%
= 26%
Number of less balls that Jenson had than Ben in the end
= 146% - 104%
= 42%
42% → 84
1% → 84 ÷ 42 = 2
Number of balls that Ben had at first
= 150%
= 150 x 2
= 300
Answer(s): 300
