Sam had 20% more beads than Henry. Sam gave 25% of his beads to Henry. Henry in return gave 40% of his beads to Sam. In the end, Henry had 640 less beads than Sam. How many beads did Sam have at first?
| |
Sam |
Henry |
| Before |
120% |
100% |
| Change 1 |
- 30% |
+ 30% |
| After 1 |
90% |
130% |
| Change 2 |
+ 52% |
- 52% |
| After 2 |
142% |
78% |
Number of beads that Sam had at first in percent
= 100% + 20%
= 120%
Number of beads that Sam gave to Henry in percent
= 25% x 120%
=
25100 x 120%
= 30%
Number of beads that Henry gave to Sam in percent
= 40% x 130%
=
40100 x 130%
= 52%
Number of less beads that Henry had than Sam in the end
= 142% - 78%
= 64%
64% → 640
1% → 640 ÷ 64 = 10
Number of beads that Sam had at first
= 120%
= 120 x 10
= 1200
Answer(s): 1200
