Albert, Peter and Oscar had 270 stickers. After Albert used 27 stickers and Peter used
47 of her stickers, Albert had four times as many stickers left as Peter. Oscar bought another 37 stickers, he had thrice the number of stickers Peter had left. How many stickers did Oscar have at first?
|
Albert |
Peter |
Oscar |
Total |
Before |
12 u + 27 |
7 u |
9 u - 37 |
270 |
Change |
- 27 |
- 4 u |
+ 37 |
|
After |
12 u |
3 u |
9 u |
|
Comparing Albert and Peter in the end |
4 |
1 |
|
|
Comparing Oscar and Peter in the end |
|
1 |
3 |
|
Number of stickers that Albert had in the end
= 4 x 3 u
= 12 u
Number of stickers that Oscar had in the end
= 3 x 3 u
= 9 u
Total number of stickers at first
= 12 u + 27 + 7 u + 9 u - 37
= 28 u - 10
28 u - 10 = 270
28 u = 270 + 10
28 u = 280
1 u = 280 ÷ 28 = 10
Number of stickers that Oscar had at first
= 9 u - 37
= 9 x 10 - 37
= 90 - 37
= 53
Answer(s): 53