Glen, Dylan and Ken had a total of 83 stickers. The ratio of the number of stickers that Dylan had to the number of stickers that Ken had was 2 : 7. After Glen and Dylan each gave away half of their stickers, the 3 children had 66 stickers left. How many stickers did Dylan and Ken have in the end?
| |
Glen |
Dylan |
Ken |
Total |
| Before |
2 p |
2 u |
7 u |
83 |
| Change |
- 1 p |
- 1 u |
|
- 17 |
| After |
1 p |
1 u |
7 u |
66 |
Total number of stickers that Glen and Dylan gave away
= 83 - 66
= 17
1 p + 1 u = 17 --- (1)
1 p + 1 u + 7 u = 66
1 p + 8 u = 66 --- (2)
(2) - (1)
(1 p + 8 u) - (1 p + 1 u) = 66 - 17
8 u - 1 u = 49
7 u = 49
1 u = 49 ÷ 7 = 7
Total number of stickers that Dylan and Ken had in the end
= 1 u + 7 u
= 8 u
= 8 x 7
= 56
Answer(s): 56
