Cole had 20% more marbles than George. Cole gave 10% of his marbles to George. George in return gave 50% of his marbles to Cole. In the end, George had 324 less marbles than Cole. How many marbles did Cole have at first?
| |
Cole |
George |
| Before |
120% |
100% |
| Change 1 |
- 12% |
+ 12% |
| After 1 |
108% |
112% |
| Change 2 |
+ 56% |
- 56% |
| After 2 |
164% |
56% |
Number of marbles that Cole had at first in percent
= 100% + 20%
= 120%
Number of marbles that Cole gave to George in percent
= 10% x 120%
=
10100 x 120%
= 12%
Number of marbles that George gave to Cole in percent
= 50% x 112%
=
50100 x 112%
= 56%
Number of less marbles that George had than Cole in the end
= 164% - 56%
= 108%
108% → 324
1% → 324 ÷ 108 = 3
Number of marbles that Cole had at first
= 120%
= 120 x 3
= 360
Answer(s): 360
