Japheth had 50% more marbles than Rael. Japheth gave 20% of his marbles to Rael. Rael in return gave 50% of his marbles to Japheth. In the end, Rael had 480 less marbles than Japheth. How many marbles did Japheth have at first?
| |
Japheth |
Rael |
| Before |
150% |
100% |
| Change 1 |
- 30% |
+ 30% |
| After 1 |
120% |
130% |
| Change 2 |
+ 65% |
- 65% |
| After 2 |
185% |
65% |
Number of marbles that Japheth had at first in percent
= 100% + 50%
= 150%
Number of marbles that Japheth gave to Rael in percent
= 20% x 150%
=
20100 x 150%
= 30%
Number of marbles that Rael gave to Japheth in percent
= 50% x 130%
=
50100 x 130%
= 65%
Number of less marbles that Rael had than Japheth in the end
= 185% - 65%
= 120%
120% → 480
1% → 480 ÷ 120 = 4
Number of marbles that Japheth had at first
= 150%
= 150 x 4
= 600
Answer(s): 600
