Billy had 50% more balls than Zeph. Billy gave 10% of his balls to Zeph. Zeph in return gave 20% of his balls to Billy. In the end, Zeph had 264 less balls than Billy. How many balls did Zeph have in the end?
| |
Billy |
Zeph |
| Before |
150% |
100% |
| Change 1 |
- 15% |
+ 15% |
| After 1 |
135% |
115% |
| Change 2 |
+ 23% |
- 23% |
| After 2 |
158% |
92% |
Number of balls that Billy had at first in percent
= 100% + 50%
= 150%
Number of balls that Billy gave to Zeph in percent
= 10% x 150%
=
10100 x 150%
= 15%
Number of balls that Zeph gave to Billy in percent
= 20% x 115%
=
20100 x 115%
= 23%
Number of less balls that Zeph had than Billy in the end
= 158% - 92%
= 66%
66% → 264
1% → 264 ÷ 66 = 4
Number of balls that Zeph had in the end
= 92%
= 92 x 4
= 600
Answer(s): 600
