Three girls, Shiyun, Kylie and Wendy had a total of 5040 stickers. Some exchanges were made. First, Shiyun gave Kylie as many stickers as Kylie had. After that, Kylie gave
15 of whatever she had then to Wendy. Finally, Wendy gave
14 of whatever she had to Shiyun. As a result, they each had the same number of stickers. How many stickers did Shiyun have at first?
|
Shiyun |
Kylie |
Wendy |
Total |
Before 1 |
? |
1 u |
|
5040 |
Change 1 |
- 1 u |
+ 1 u |
|
|
After 1 |
|
2 u |
|
|
Before 2 |
|
5 p |
|
5040 |
Change 2 |
|
- 1 p |
+ 1 p |
|
After 2 |
|
4 p |
|
|
Before 3 |
|
|
4 boxes |
5040 |
Change 3 |
+ 1 box |
|
- 1 box |
|
After 3 |
|
|
3 boxes |
|
After 3 |
1 group |
1 group |
1 group |
5040 |
3 groups = 5040
1 group = 5040 ÷ 3 = 1680
1 group = 3 boxes 3 boxes = 1680
1 box = 1680 ÷ 3 = 560
4 p = 1 group
1 p = 1680 ÷ 4 = 420
5 p = 5 x 420 = 2100
5 p = 2 u
2 u = 2100
1 u = 2100 ÷ 2 = 1050
Number of stickers that Shiyun had at first
= 1 group - 1 box + 1 u
= 1680 - 560 + 1050
= 2170
Answer(s): 2170