Perry, Jenson and Michael had 72 stickers. After Perry used 3 stickers and Jenson used
23 of her stickers, Perry had four times as many stickers left as Jenson. Michael bought another 11 stickers, he had thrice the number of stickers Jenson had left. How many stickers did Michael have at first?
| |
Perry |
Jenson |
Michael |
Total |
| Before |
4 u + 3 |
3 u |
3 u - 11 |
72 |
| Change |
- 3 |
- 2 u |
+ 11 |
|
| After |
4 u |
1 u |
3 u |
|
Comparing Perry
and Jenson in the end |
4 |
1 |
|
|
Comparing Michael
and Jenson in the end |
|
1 |
3 |
|
Number of stickers that Perry had in the end
= 4 x 1 u
= 4 u
Number of stickers that Michael had in the end
= 3 x 1 u
= 3 u
Total number of stickers at first
= 4 u + 3 + 3 u + 3 u - 11
= 10 u - 8
10 u - 8 = 72
10 u = 72 + 8
10 u = 80
1 u = 80 ÷ 10 = 8
Number of stickers that Michael had at first
= 3 u - 11
= 3 x 8 - 11
= 24 - 11
= 13
Answer(s): 13
