Sam had 50% more beads than Dylan. Sam gave 20% of his beads to Dylan. Dylan in return gave 50% of his beads to Sam. In the end, Dylan had 1440 less beads than Sam. How many beads did Sam have at first?
| |
Sam |
Dylan |
| Before |
150% |
100% |
| Change 1 |
- 30% |
+ 30% |
| After 1 |
120% |
130% |
| Change 2 |
+ 65% |
- 65% |
| After 2 |
185% |
65% |
Number of beads that Sam had at first in percent
= 100% + 50%
= 150%
Number of beads that Sam gave to Dylan in percent
= 20% x 150%
=
20100 x 150%
= 30%
Number of beads that Dylan gave to Sam in percent
= 50% x 130%
=
50100 x 130%
= 65%
Number of less beads that Dylan had than Sam in the end
= 185% - 65%
= 120%
120% → 1440
1% → 1440 ÷ 120 = 12
Number of beads that Sam had at first
= 150%
= 150 x 12
= 1800
Answer(s): 1800
