Gwen and Esther have some wafers each. If Gwen gives Esther 23 wafers, Gwen will have ¹₆ as many wafers as Esther. If Gwen gives Esther 10 wafers, they will have an equal number of wafers. How many wafers does Esther have at first?

	Case 1		Case 2
	Gwen	Esther	Gwen	Esther
Before	1 u + 23	6 u - 23	3.5 u + 10	3.5 u - 10
Change	- 23	+ 23	- 10	+ 10
After	1 u	6 u	3.5 u	3.5 u

Total number of wafers that Gwen and Esther have
= 1 u + 6 u
= 7 u 

Number of wafers that Gwen and Esther each has in the end is the same.

Number of wafers that Gwen and Esther each has in the end in Case 2
= 7 u ÷ 2
= 3.5 u

Number of wafers that Gwen had at first is the same in Case 1 and Case 2.

3.5 u + 10 = 1 u + 23
3.5 u - 1 u = 23 - 10
0.5 u = 13

1 u = 13 ÷ 0.5 = 26

Number of wafers that Esther has
= 6 u - 23
= 6 x 26 - 23
= 156 - 23
= 133

Answer(s): 133