Gabby and Gillian have some cookies each. If Gabby gives Gillian 14 cookies, Gabby will have ¹₄ as many cookies as Gillian. If Gabby gives Gillian 7 cookies, they will have an equal number of cookies. How many cookies does Gabby have at first?

	Case 1		Case 2
	Gabby	Gillian	Gabby	Gillian
Before	1 u + 14	4 u - 14	2.5 u + 7	2.5 u - 7
Change	- 14	+ 14	- 7	+ 7
After	1 u	4 u	2.5 u	2.5 u

Total number of cookies that Gabby and Gillian have
= 1 u + 4 u
= 5 u 

Number of cookies that Gabby and Gillian each has in the end is the same.

Number of cookies that Gabby and Gillian each has in the end in Case 2
= 5 u ÷ 2
= 2.5 u

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

2.5 u + 7 = 1 u + 14
2.5 u - 1 u = 14 - 7
0.5 u = 7

1 u = 7 ÷ 0.5 = 14

Number of cookies that Gabby has
= 1 u + 14
= 1 x 14 + 14
= 14 + 14
= 28

Answer(s): 28