Elijah had 25% more marbles than Vaidev. Elijah gave 20% of his marbles to Vaidev. Vaidev in return gave 20% of his marbles to Elijah. In the end, Vaidev had 175 less marbles than Elijah. How many marbles did Elijah have at first?
| |
Elijah |
Vaidev |
| Before |
125% |
100% |
| Change 1 |
- 25% |
+ 25% |
| After 1 |
100% |
125% |
| Change 2 |
+ 25% |
- 25% |
| After 2 |
125% |
100% |
Number of marbles that Elijah had at first in percent
= 100% + 25%
= 125%
Number of marbles that Elijah gave to Vaidev in percent
= 20% x 125%
=
20100 x 125%
= 25%
Number of marbles that Vaidev gave to Elijah in percent
= 20% x 125%
=
20100 x 125%
= 25%
Number of less marbles that Vaidev had than Elijah in the end
= 125% - 100%
= 25%
25% → 175
1% → 175 ÷ 25 = 7
Number of marbles that Elijah had at first
= 125%
= 125 x 7
= 875
Answer(s): 875
