Reggie had 25% more marbles than Jack. Reggie gave 20% of his marbles to Jack. Jack in return gave 20% of his marbles to Reggie. In the end, Jack had 150 less marbles than Reggie. How many marbles did Jack have in the end?
| |
Reggie |
Jack |
| Before |
125% |
100% |
| Change 1 |
- 25% |
+ 25% |
| After 1 |
100% |
125% |
| Change 2 |
+ 25% |
- 25% |
| After 2 |
125% |
100% |
Number of marbles that Reggie had at first in percent
= 100% + 25%
= 125%
Number of marbles that Reggie gave to Jack in percent
= 20% x 125%
=
20100 x 125%
= 25%
Number of marbles that Jack gave to Reggie in percent
= 20% x 125%
=
20100 x 125%
= 25%
Number of less marbles that Jack had than Reggie in the end
= 125% - 100%
= 25%
25% → 150
1% → 150 ÷ 25 = 6
Number of marbles that Jack had in the end
= 100%
= 100 x 6
= 750
Answer(s): 750
