Luke had 50% more beads than Jeremy. Luke gave 20% of his beads to Jeremy. Jeremy in return gave 40% of his beads to Luke. In the end, Jeremy had 1128 less beads than Luke. How many beads did Luke have at first?
| |
Luke |
Jeremy |
| Before |
150% |
100% |
| Change 1 |
- 30% |
+ 30% |
| After 1 |
120% |
130% |
| Change 2 |
+ 52% |
- 52% |
| After 2 |
172% |
78% |
Number of beads that Luke had at first in percent
= 100% + 50%
= 150%
Number of beads that Luke gave to Jeremy in percent
= 20% x 150%
=
20100 x 150%
= 30%
Number of beads that Jeremy gave to Luke in percent
= 40% x 130%
=
40100 x 130%
= 52%
Number of less beads that Jeremy had than Luke in the end
= 172% - 78%
= 94%
94% → 1128
1% → 1128 ÷ 94 = 12
Number of beads that Luke had at first
= 150%
= 150 x 12
= 1800
Answer(s): 1800
