Reggie had 40% more marbles than John. Reggie gave 25% of his marbles to John. John in return gave 20% of his marbles to Reggie. In the end, John had 72 less marbles than Reggie. How many marbles did John have in the end?
| |
Reggie |
John |
| Before |
140% |
100% |
| Change 1 |
- 35% |
+ 35% |
| After 1 |
105% |
135% |
| Change 2 |
+ 27% |
- 27% |
| After 2 |
132% |
108% |
Number of marbles that Reggie had at first in percent
= 100% + 40%
= 140%
Number of marbles that Reggie gave to John in percent
= 25% x 140%
=
25100 x 140%
= 35%
Number of marbles that John gave to Reggie in percent
= 20% x 135%
=
20100 x 135%
= 27%
Number of less marbles that John had than Reggie in the end
= 132% - 108%
= 24%
24% → 72
1% → 72 ÷ 24 = 3
Number of marbles that John had in the end
= 108%
= 108 x 3
= 420
Answer(s): 420
