Vaidev, Flynn and Ken had a total of 82 stamps. The ratio of the number of stamps that Flynn had to the number of stamps that Ken had was 4 : 9. After Vaidev and Flynn each gave away half of their stamps, the 3 children had 68 stamps left. How many stamps did Flynn and Ken have in the end?
| |
Vaidev |
Flynn |
Ken |
Total |
| Before |
2 p |
4 u |
9 u |
82 |
| Change |
- 1 p |
- 2 u |
|
- 14 |
| After |
1 p |
2 u |
9 u |
68 |
Total number of stamps that Vaidev and Flynn gave away
= 82 - 68
= 14
1 p + 2 u = 14 --- (1)
1 p + 2 u + 9 u = 68
1 p + 11 u = 68 --- (2)
(2) - (1)
(1 p + 11 u) - (1 p + 2 u) = 68 - 14
11 u - 2 u = 54
9 u = 54
1 u = 54 ÷ 9 = 6
Total number of stamps that Flynn and Ken had in the end
= 2 u + 9 u
= 11 u
= 11 x 6
= 66
Answer(s): 66
