Julian had 20% more marbles than Ivan. Julian gave 30% of his marbles to Ivan. Ivan in return gave 25% of his marbles to Julian. In the end, Ivan had 96 less marbles than Julian. How many marbles did Ivan have in the end?
| |
Julian |
Ivan |
| Before |
120% |
100% |
| Change 1 |
- 36% |
+ 36% |
| After 1 |
84% |
136% |
| Change 2 |
+ 34% |
- 34% |
| After 2 |
118% |
102% |
Number of marbles that Julian had at first in percent
= 100% + 20%
= 120%
Number of marbles that Julian gave to Ivan in percent
= 30% x 120%
=
30100 x 120%
= 36%
Number of marbles that Ivan gave to Julian in percent
= 25% x 136%
=
25100 x 136%
= 34%
Number of less marbles that Ivan had than Julian in the end
= 118% - 102%
= 16%
16% → 96
1% → 96 ÷ 16 = 6
Number of marbles that Ivan had in the end
= 102%
= 102 x 6
= 720
Answer(s): 720
