Andy had 20% more marbles than Simon. Andy gave 25% of his marbles to Simon. Simon in return gave 30% of his marbles to Andy. In the end, Simon had 76 less marbles than Andy. How many marbles did Simon have in the end?
| |
Andy |
Simon |
| Before |
120% |
100% |
| Change 1 |
- 30% |
+ 30% |
| After 1 |
90% |
130% |
| Change 2 |
+ 39% |
- 39% |
| After 2 |
129% |
91% |
Number of marbles that Andy had at first in percent
= 100% + 20%
= 120%
Number of marbles that Andy gave to Simon in percent
= 25% x 120%
=
25100 x 120%
= 30%
Number of marbles that Simon gave to Andy in percent
= 30% x 130%
=
30100 x 130%
= 39%
Number of less marbles that Simon had than Andy in the end
= 129% - 91%
= 38%
38% → 76
1% → 76 ÷ 38 = 2
Number of marbles that Simon had in the end
= 91%
= 91 x 2
= 240
Answer(s): 240
