Paul had 140 more beads than David. Paul gave 25% of his beads to David. David in return gave 60% of his beads to Paul. In the end, David had 424 less beads than Paul. How many beads did Paul have at first?
| |
Paul |
David |
Comparing Paul
and Peter at first |
140 more |
|
| Before |
4 u + 140 |
4 u |
| Change 1 |
- 1 u - 35 |
+ 1 u + 35 |
| After 1 |
3 u + 105 |
5 u + 35 |
| Change 2 |
+ 3 u + 21 |
- 3 u - 21 |
| After 2 |
6 u + 126 |
2 u + 14 |
25% =
25100 =
1425% x 140
=
25100 x 140
= 35
60% x 35
=
60100 x 35
= 21
60% x 5 u
=
60100 x 5 u
= 3 u
David had 424 less beads than Paul in the end. If another 424 beads are given to David, both will have the same number of beads.
6 u + 126 = 2 u + 14 + 424
6 u - 2 u = 14 + 424 - 126
4 u = 312
1 u = 312 ÷ 4 = 26
Number of David's beads at first
= 4 u
= 4 x 26
= 104
Answer: 104
