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