Three girls, Xandra, Penelope and Jaslyn had a total of 3900 stickers. Some exchanges were made. First, Xandra gave Penelope as many stickers as Penelope had. After that, Penelope gave ¹₃ of whatever she had then to Jaslyn. Finally, Jaslyn gave ¹₅ of whatever she had to Xandra. As a result, they each had the same number of stickers. How many stickers did Xandra have at first?

	Xandra	Penelope	Jaslyn	Total
Before 1	?	1 u		3900
Change 1	- 1 u	+ 1 u
After 1		2 u
Before 2		3 p		3900
Change 2		- 1 p	+ 1 p
After 2		2 p
Before 3			5 boxes	3900
Change 3	+ 1 box		- 1 box
After 3			4 boxes
After 3	1 group	1 group	1 group	3900

3 groups = 3900
1 group = 3900 ÷ 3 = 1300

1 group = 4 boxes
4 boxes = 1300
1 box = 1300 ÷ 4 = 325

2 p = 1 group
1 p = 1300 ÷ 2 = 650
3 p = 3 x 650 = 1950

3 p = 2 u
2 u = 1950
1 u = 1950 ÷ 2 = 975

Number of stickers that Xandra had at first
= 1 group - 1 box + 1 u
= 1300 - 325 + 975
= 1950

Answer(s): 1950