Tina and Emily have some cookies each. If Tina gives Emily 34 cookies, Tina will have ¹₂ as many cookies as Emily. If Tina gives Emily 10 cookies, they will have an equal number of cookies. How many cookies does Emily have at first?

	Case 1		Case 2
	Tina	Emily	Tina	Emily
Before	1 u + 34	2 u - 34	1.5 u + 10	1.5 u - 10
Change	- 34	+ 34	- 10	+ 10
After	1 u	2 u	1.5 u	1.5 u

Total number of cookies that Tina and Emily have
= 1 u + 2 u
= 3 u 

Number of cookies that Tina and Emily each has in the end is the same.

Number of cookies that Tina and Emily each has in the end in Case 2
= 3 u ÷ 2
= 1.5 u

Number of cookies that Tina had at first is the same in Case 1 and Case 2.

1.5 u + 10 = 1 u + 34
1.5 u - 1 u = 34 - 10
0.5 u = 24

1 u = 24 ÷ 0.5 = 48

Number of cookies that Emily has
= 2 u - 34
= 2 x 48 - 34
= 96 - 34
= 62

Answer(s): 62