Peter had 50% more marbles than Zeph. Peter gave 20% of his marbles to Zeph. Zeph in return gave 30% of his marbles to Peter. In the end, Zeph had 748 less marbles than Peter. How many marbles did Zeph have in the end?
| |
Peter |
Zeph |
| Before |
150% |
100% |
| Change 1 |
- 30% |
+ 30% |
| After 1 |
120% |
130% |
| Change 2 |
+ 39% |
- 39% |
| After 2 |
159% |
91% |
Number of marbles that Peter had at first in percent
= 100% + 50%
= 150%
Number of marbles that Peter gave to Zeph in percent
= 20% x 150%
=
20100 x 150%
= 30%
Number of marbles that Zeph gave to Peter in percent
= 30% x 130%
=
30100 x 130%
= 39%
Number of less marbles that Zeph had than Peter in the end
= 159% - 91%
= 68%
68% → 748
1% → 748 ÷ 68 = 11
Number of marbles that Zeph had in the end
= 91%
= 91 x 11
= 1650
Answer(s): 1650
