Neave had 50% more marbles than Zeph. Neave gave 20% of his marbles to Zeph. Zeph in return gave 40% of his marbles to Neave. In the end, Zeph had 846 less marbles than Neave. How many marbles did Zeph have in the end?
| |
Neave |
Zeph |
| Before |
150% |
100% |
| Change 1 |
- 30% |
+ 30% |
| After 1 |
120% |
130% |
| Change 2 |
+ 52% |
- 52% |
| After 2 |
172% |
78% |
Number of marbles that Neave had at first in percent
= 100% + 50%
= 150%
Number of marbles that Neave gave to Zeph in percent
= 20% x 150%
=
20100 x 150%
= 30%
Number of marbles that Zeph gave to Neave in percent
= 40% x 130%
=
40100 x 130%
= 52%
Number of less marbles that Zeph had than Neave in the end
= 172% - 78%
= 94%
94% → 846
1% → 846 ÷ 94 = 9
Number of marbles that Zeph had in the end
= 78%
= 78 x 9
= 1350
Answer(s): 1350
