Gabby and Zara had a total of 80 stickers. Zara gave ¹₃ of her stickers to Gabby. In return, Gabby gave ¹₆ of the total number of stickers that she had to Zara. In the end, each girl had the same number of stickers. How many stickers did Gabby have at first?

	Gabby	Zara	Total
Before 1	?	3 u	80
Change 1	+ 1 u	- 1 u
After 1	48	2 u	80
Before 2	6 p	2 u	80
Change 2	- 1 p	+ 1 p
After 2	5 p (40)	40	80

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

Number of stickers that Zara and Gabby each had in the end is the same.

Number of stickers that Gabby had in the end
= 80 ÷ 2
= 40

Number of stickers that Gabby had in the end = 5 p

5 p = 40

1 p = 40 ÷ 5 = 8

Number of stickers that Gabby had after receiving some stickers from Zara
= 6 p
= 6 x 8
= 48

Number of stickers that Zara had after giving to Gabby
= 80 - 48
= 32

2 u = 32

1 u = 32 ÷ 2 = 16

Number of stickers that Zara had at first
= 3 u
= 3 x 16
= 48

Number of stickers that Gabby had at first
= 80 - 48
= 32

Answer(s): 32