Wendy and Ivory have some biscuits each. If Wendy gives Ivory 17 biscuits, Wendy will have ¹₂ as many biscuits as Ivory. If Wendy gives Ivory 10 biscuits, they will have an equal number of biscuits. How many biscuits does Wendy have at first?

	Case 1		Case 2
	Wendy	Ivory	Wendy	Ivory
Before	1 u + 17	2 u - 17	1.5 u + 10	1.5 u - 10
Change	- 17	+ 17	- 10	+ 10
After	1 u	2 u	1.5 u	1.5 u

Total number of biscuits that Wendy and Ivory have
= 1 u + 2 u
= 3 u 

Number of biscuits that Wendy and Ivory each has in the end is the same.

Number of biscuits that Wendy and Ivory each has in the end in Case 2
= 3 u ÷ 2
= 1.5 u

Number of biscuits that Wendy had at first is the same in Case 1 and Case 2.

1.5 u + 10 = 1 u + 17
1.5 u - 1 u = 17 - 10
0.5 u = 7

1 u = 7 ÷ 0.5 = 14

Number of biscuits that Wendy has
= 1 u + 17
= 1 x 14 + 17
= 14 + 17
= 31

Answer(s): 31