Asher had 40% more balls than Sam. Asher gave 25% of his balls to Sam. Sam in return gave 40% of his balls to Asher. In the end, Sam had 390 less balls than Asher. How many balls did Asher have at first?
| |
Asher |
Sam |
| Before |
140% |
100% |
| Change 1 |
- 35% |
+ 35% |
| After 1 |
105% |
135% |
| Change 2 |
+ 54% |
- 54% |
| After 2 |
159% |
81% |
Number of balls that Asher had at first in percent
= 100% + 40%
= 140%
Number of balls that Asher gave to Sam in percent
= 25% x 140%
=
25100 x 140%
= 35%
Number of balls that Sam gave to Asher in percent
= 40% x 135%
=
40100 x 135%
= 54%
Number of less balls that Sam had than Asher in the end
= 159% - 81%
= 78%
78% → 390
1% → 390 ÷ 78 = 5
Number of balls that Asher had at first
= 140%
= 140 x 5
= 700
Answer(s): 700
