Dylan had 25% more beads than Jeremy. Dylan gave 20% of his beads to Jeremy. Jeremy in return gave 40% of his beads to Dylan. In the end, Jeremy had 150 less beads than Dylan. How many beads did Dylan have at first?
| |
Dylan |
Jeremy |
| Before |
125% |
100% |
| Change 1 |
- 25% |
+ 25% |
| After 1 |
100% |
125% |
| Change 2 |
+ 50% |
- 50% |
| After 2 |
150% |
75% |
Number of beads that Dylan had at first in percent
= 100% + 25%
= 125%
Number of beads that Dylan gave to Jeremy in percent
= 20% x 125%
=
20100 x 125%
= 25%
Number of beads that Jeremy gave to Dylan in percent
= 40% x 125%
=
40100 x 125%
= 50%
Number of less beads that Jeremy had than Dylan in the end
= 150% - 75%
= 75%
75% → 150
1% → 150 ÷ 75 = 2
Number of beads that Dylan had at first
= 125%
= 125 x 2
= 250
Answer(s): 250
