Fabian, Dylan and Ian had 216 stickers. After Fabian used 14 stickers and Dylan used
17 of her stickers, Fabian had thrice as many stickers left as Dylan. Ian bought another 20 stickers, he had twice the number of stickers Dylan had left. How many stickers did Ian have at first?
| |
Fabian |
Dylan |
Ian |
Total |
| Before |
18 u + 14 |
7 u |
12 u - 20 |
216 |
| Change |
- 14 |
- 1 u |
+ 20 |
|
| After |
18 u |
6 u |
12 u |
|
Comparing Fabian
and Dylan in the end |
3 |
1 |
|
|
Comparing Ian
and Dylan in the end |
|
1 |
2 |
|
Number of stickers that Fabian had in the end
= 3 x 6 u
= 18 u
Number of stickers that Ian had in the end
= 2 x 6 u
= 12 u
Total number of stickers at first
= 18 u + 14 + 7 u + 12 u - 20
= 37 u - 6
37 u - 6 = 216
37 u = 216 + 6
37 u = 222
1 u = 222 ÷ 37 = 6
Number of stickers that Ian had at first
= 12 u - 20
= 12 x 6 - 20
= 72 - 20
= 52
Answer(s): 52
