Cody had 50% more marbles than Ethan. Cody gave 30% of his marbles to Ethan. Ethan in return gave 40% of his marbles to Cody. In the end, Ethan had 912 less marbles than Cody. How many marbles did Ethan have in the end?
| |
Cody |
Ethan |
| Before |
150% |
100% |
| Change 1 |
- 45% |
+ 45% |
| After 1 |
105% |
145% |
| Change 2 |
+ 58% |
- 58% |
| After 2 |
163% |
87% |
Number of marbles that Cody had at first in percent
= 100% + 50%
= 150%
Number of marbles that Cody gave to Ethan in percent
= 30% x 150%
=
30100 x 150%
= 45%
Number of marbles that Ethan gave to Cody in percent
= 40% x 145%
=
40100 x 145%
= 58%
Number of less marbles that Ethan had than Cody in the end
= 163% - 87%
= 76%
76% → 912
1% → 912 ÷ 76 = 12
Number of marbles that Ethan had in the end
= 87%
= 87 x 12
= 1800
Answer(s): 1800
