John had 50% more marbles than Ahmad. John gave 30% of his marbles to Ahmad. Ahmad in return gave 40% of his marbles to John. In the end, Ahmad had 152 less marbles than John. How many marbles did John have at first?
| |
John |
Ahmad |
| Before |
150% |
100% |
| Change 1 |
- 45% |
+ 45% |
| After 1 |
105% |
145% |
| Change 2 |
+ 58% |
- 58% |
| After 2 |
163% |
87% |
Number of marbles that John had at first in percent
= 100% + 50%
= 150%
Number of marbles that John gave to Ahmad in percent
= 30% x 150%
=
30100 x 150%
= 45%
Number of marbles that Ahmad gave to John in percent
= 40% x 145%
=
40100 x 145%
= 58%
Number of less marbles that Ahmad had than John in the end
= 163% - 87%
= 76%
76% → 152
1% → 152 ÷ 76 = 2
Number of marbles that John had at first
= 150%
= 150 x 2
= 300
Answer(s): 300
