Jenson had 20% more marbles than Tim. Jenson gave 25% of his marbles to Tim. Tim in return gave 30% of his marbles to Jenson. In the end, Tim had 304 less marbles than Jenson. How many marbles did Tim have in the end?
| |
Jenson |
Tim |
| Before |
120% |
100% |
| Change 1 |
- 30% |
+ 30% |
| After 1 |
90% |
130% |
| Change 2 |
+ 39% |
- 39% |
| After 2 |
129% |
91% |
Number of marbles that Jenson had at first in percent
= 100% + 20%
= 120%
Number of marbles that Jenson gave to Tim in percent
= 25% x 120%
=
25100 x 120%
= 30%
Number of marbles that Tim gave to Jenson in percent
= 30% x 130%
=
30100 x 130%
= 39%
Number of less marbles that Tim had than Jenson in the end
= 129% - 91%
= 38%
38% → 304
1% → 304 ÷ 38 = 8
Number of marbles that Tim had in the end
= 91%
= 91 x 8
= 960
Answer(s): 960
