Dylan had 20% more marbles than Nick. Dylan gave 25% of his marbles to Nick. Nick in return gave 40% of his marbles to Dylan. In the end, Nick had 640 less marbles than Dylan. How many marbles did Nick have in the end?
| |
Dylan |
Nick |
| Before |
120% |
100% |
| Change 1 |
- 30% |
+ 30% |
| After 1 |
90% |
130% |
| Change 2 |
+ 52% |
- 52% |
| After 2 |
142% |
78% |
Number of marbles that Dylan had at first in percent
= 100% + 20%
= 120%
Number of marbles that Dylan gave to Nick in percent
= 25% x 120%
=
25100 x 120%
= 30%
Number of marbles that Nick gave to Dylan in percent
= 40% x 130%
=
40100 x 130%
= 52%
Number of less marbles that Nick had than Dylan in the end
= 142% - 78%
= 64%
64% → 640
1% → 640 ÷ 64 = 10
Number of marbles that Nick had in the end
= 78%
= 78 x 10
= 1200
Answer(s): 1200
