Dylan, Nick and Vincent had a total of 141 stickers. The ratio of the number of stickers that Nick had to the number of stickers that Vincent had was 2 : 9. After Dylan and Nick each gave away half of their stickers, the 3 children had 120 stickers left. How many stickers did Nick and Vincent have in the end?
| |
Dylan |
Nick |
Vincent |
Total |
| Before |
2 p |
2 u |
9 u |
141 |
| Change |
- 1 p |
- 1 u |
|
- 21 |
| After |
1 p |
1 u |
9 u |
120 |
Total number of stickers that Dylan and Nick gave away
= 141 - 120
= 21
1 p + 1 u = 21 --- (1)
1 p + 1 u + 9 u = 120
1 p + 10 u = 120 --- (2)
(2) - (1)
(1 p + 10 u) - (1 p + 1 u) = 120 - 21
10 u - 1 u = 99
9 u = 99
1 u = 99 ÷ 9 = 11
Total number of stickers that Nick and Vincent had in the end
= 1 u + 9 u
= 10 u
= 10 x 11
= 110
Answer(s): 110
