Anna and Julie had a total of 96 stickers. Julie gave ¹₅ of her stickers to Anna. In return, Anna gave ¹₇ of the total number of stickers that she had to Julie. In the end, each girl had the same number of stickers. How many stickers did Anna have at first?

	Anna	Julie	Total
Before 1	?	5 u	96
Change 1	+ 1 u	- 1 u
After 1	56	4 u	96
Before 2	7 p	4 u	96
Change 2	- 1 p	+ 1 p
After 2	6 p (48)	48	96

Since Julie gave some stickers to Anna and Anna then gave some stickers to Julie, it is an internal transfer of stickers between the two girls. So, the total number of stickers remains unchanged.

Number of stickers that Julie and Anna each had in the end is the same.

Number of stickers that Anna had in the end
= 96 ÷ 2
= 48

Number of stickers that Anna had in the end = 6 p

6 p = 48

1 p = 48 ÷ 6 = 8

Number of stickers that Anna had after receiving some stickers from Julie
= 7 p
= 7 x 8
= 56

Number of stickers that Julie had after giving to Anna
= 96 - 56
= 40

4 u = 40

1 u = 40 ÷ 4 = 10

Number of stickers that Julie had at first
= 5 u
= 5 x 10
= 50

Number of stickers that Anna had at first
= 96 - 50
= 46

Answer(s): 46