Jeremy, Fabian and Michael had 185 stickers. After Jeremy used 32 stickers and Fabian used
38 of her stickers, Jeremy had four times as many stickers left as Fabian. Michael bought another 37 stickers, he had twice the number of stickers Fabian had left. How many stickers did Michael have at first?
|
Jeremy |
Fabian |
Michael |
Total |
Before |
20 u + 32 |
8 u |
10 u - 37 |
185 |
Change |
- 32 |
- 3 u |
+ 37 |
|
After |
20 u |
5 u |
10 u |
|
Comparing Jeremy and Fabian in the end |
4 |
1 |
|
|
Comparing Michael and Fabian in the end |
|
1 |
2 |
|
Number of stickers that Jeremy had in the end
= 4 x 5 u
= 20 u
Number of stickers that Michael had in the end
= 2 x 5 u
= 10 u
Total number of stickers at first
= 20 u + 32 + 8 u + 10 u - 37
= 38 u - 5
38 u - 5 = 185
38 u = 185 + 5
38 u = 190
1 u = 190 ÷ 38 = 5
Number of stickers that Michael had at first
= 10 u - 37
= 10 x 5 - 37
= 50 - 37
= 13
Answer(s): 13