Elijah had 20% more marbles than Mark. Elijah gave 25% of his marbles to Mark. Mark in return gave 20% of his marbles to Elijah. In the end, Mark had 48 less marbles than Elijah. How many marbles did Mark have in the end?
| |
Elijah |
Mark |
| Before |
120% |
100% |
| Change 1 |
- 30% |
+ 30% |
| After 1 |
90% |
130% |
| Change 2 |
+ 26% |
- 26% |
| After 2 |
116% |
104% |
Number of marbles that Elijah had at first in percent
= 100% + 20%
= 120%
Number of marbles that Elijah gave to Mark in percent
= 25% x 120%
=
25100 x 120%
= 30%
Number of marbles that Mark gave to Elijah in percent
= 20% x 130%
=
20100 x 130%
= 26%
Number of less marbles that Mark had than Elijah in the end
= 116% - 104%
= 12%
12% → 48
1% → 48 ÷ 12 = 4
Number of marbles that Mark had in the end
= 104%
= 104 x 4
= 480
Answer(s): 480
