Flynn had 140 more beads than Archie. Flynn gave 25% of his beads to Archie. Archie in return gave 60% of his beads to Flynn. In the end, Flynn had 472 more beads than Archie. How many beads did Flynn have at first?
| |
Flynn |
Archie |
Comparing Flynn
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
Flynn had 472 more beads than Archie in the end. If another 472 beads are given to Archie, both will have the same number of beads.
6 u + 126 = 2 u + 14 + 472
6 u - 2 u = 14 + 472 - 126
12 u = 360
1 u = 360 ÷ 12 = 30
Number of Flynn's beads at first
= 4 u + 140
= 4 x 30 + 140
= 120 + 140
= 260
Answer: 260
