Ian, Archie and Jenson had 105 stickers. After Ian used 24 stickers and Archie used
14 of her stickers, Ian had twice as many stickers left as Archie. Jenson bought another 29 stickers, he had four times the number of stickers Archie had left. How many stickers did Jenson have at first?
| |
Ian |
Archie |
Jenson |
Total |
| Before |
6 u + 24 |
4 u |
12 u - 29 |
105 |
| Change |
- 24 |
- 1 u |
+ 29 |
|
| After |
6 u |
3 u |
12 u |
|
Comparing Ian
and Archie in the end |
2 |
1 |
|
|
Comparing Jenson
and Archie in the end |
|
1 |
4 |
|
Number of stickers that Ian had in the end
= 2 x 3 u
= 6 u
Number of stickers that Jenson had in the end
= 4 x 3 u
= 12 u
Total number of stickers at first
= 6 u + 24 + 4 u + 12 u - 29
= 22 u - 5
22 u - 5 = 105
22 u = 105 + 5
22 u = 110
1 u = 110 ÷ 22 = 5
Number of stickers that Jenson had at first
= 12 u - 29
= 12 x 5 - 29
= 60 - 29
= 31
Answer(s): 31
