Gabriel had 40% more marbles than John. Gabriel gave 30% of his marbles to John. John in return gave 50% of his marbles to Gabriel. In the end, John had 490 less marbles than Gabriel. How many marbles did John have in the end?
| |
Gabriel |
John |
| Before |
140% |
100% |
| Change 1 |
- 42% |
+ 42% |
| After 1 |
98% |
142% |
| Change 2 |
+ 71% |
- 71% |
| After 2 |
169% |
71% |
Number of marbles that Gabriel had at first in percent
= 100% + 40%
= 140%
Number of marbles that Gabriel gave to John in percent
= 30% x 140%
=
30100 x 140%
= 42%
Number of marbles that John gave to Gabriel in percent
= 50% x 142%
=
50100 x 142%
= 71%
Number of less marbles that John had than Gabriel in the end
= 169% - 71%
= 98%
98% → 490
1% → 490 ÷ 98 = 5
Number of marbles that John had in the end
= 71%
= 71 x 5
= 700
Answer(s): 700
