Three girls, Winnie, Roshel and Tiffany had a total of 2880 stickers. Some exchanges were made. First, Winnie gave Roshel as many stickers as Roshel had. After that, Roshel gave
13 of whatever she had then to Tiffany. Finally, Tiffany gave
14 of whatever she had to Winnie. As a result, they each had the same number of stickers. How many stickers did Winnie have at first?
|
Winnie |
Roshel |
Tiffany |
Total |
Before 1 |
? |
1 u |
|
2880 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
3 p |
|
2880 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
2 p |
|
|
Before 3 |
|
|
4 boxes |
2880 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
3 boxes |
|
After 3 |
1 group |
1 group |
1 group |
2880 |
3 groups = 2880
1 group = 2880 ÷ 3 = 960
1 group = 3 boxes 3 boxes = 960
1 box = 960 ÷ 3 = 320
2 p = 1 group
1 p = 960 ÷ 2 = 480
3 p = 3 x 480 = 1440
3 p = 2 u
2 u = 1440
1 u = 1440 ÷ 2 = 720
Number of stickers that Winnie had at first
= 1 group - 1 box + 1 u
= 960 - 320 + 720
= 1360
Answer(s): 1360