Mark had 20% more marbles than Elijah. Mark gave 25% of his marbles to Elijah. Elijah in return gave 50% of his marbles to Mark. In the end, Elijah had 990 less marbles than Mark. How many marbles did Elijah have in the end?
| |
Mark |
Elijah |
| Before |
120% |
100% |
| Change 1 |
- 30% |
+ 30% |
| After 1 |
90% |
130% |
| Change 2 |
+ 65% |
- 65% |
| After 2 |
155% |
65% |
Number of marbles that Mark had at first in percent
= 100% + 20%
= 120%
Number of marbles that Mark gave to Elijah in percent
= 25% x 120%
=
25100 x 120%
= 30%
Number of marbles that Elijah gave to Mark in percent
= 50% x 130%
=
50100 x 130%
= 65%
Number of less marbles that Elijah had than Mark in the end
= 155% - 65%
= 90%
90% → 990
1% → 990 ÷ 90 = 11
Number of marbles that Elijah had in the end
= 65%
= 65 x 11
= 1320
Answer(s): 1320
