Rael had 20% more marbles than Ivan. Rael gave 25% of his marbles to Ivan. Ivan in return gave 40% of his marbles to Rael. In the end, Ivan had 576 less marbles than Rael. How many marbles did Ivan have in the end?
| |
Rael |
Ivan |
| Before |
120% |
100% |
| Change 1 |
- 30% |
+ 30% |
| After 1 |
90% |
130% |
| Change 2 |
+ 52% |
- 52% |
| After 2 |
142% |
78% |
Number of marbles that Rael had at first in percent
= 100% + 20%
= 120%
Number of marbles that Rael gave to Ivan in percent
= 25% x 120%
=
25100 x 120%
= 30%
Number of marbles that Ivan gave to Rael in percent
= 40% x 130%
=
40100 x 130%
= 52%
Number of less marbles that Ivan had than Rael in the end
= 142% - 78%
= 64%
64% → 576
1% → 576 ÷ 64 = 9
Number of marbles that Ivan had in the end
= 78%
= 78 x 9
= 1080
Answer(s): 1080
