Luke had 10% more marbles than John. Luke gave 20% of his marbles to John. John in return gave 50% of his marbles to Luke. In the end, John had 264 less marbles than Luke. How many marbles did John have in the end?
| |
Luke |
John |
| Before |
110% |
100% |
| Change 1 |
- 22% |
+ 22% |
| After 1 |
88% |
122% |
| Change 2 |
+ 61% |
- 61% |
| After 2 |
149% |
61% |
Number of marbles that Luke had at first in percent
= 100% + 10%
= 110%
Number of marbles that Luke gave to John in percent
= 20% x 110%
=
20100 x 110%
= 22%
Number of marbles that John gave to Luke in percent
= 50% x 122%
=
50100 x 122%
= 61%
Number of less marbles that John had than Luke in the end
= 149% - 61%
= 88%
88% → 264
1% → 264 ÷ 88 = 3
Number of marbles that John had in the end
= 61%
= 61 x 3
= 330
Answer(s): 330
