Nicole and Marion have some shortbreads each. If Nicole gives Marion 15 shortbreads, Nicole will have ²₉ as many shortbreads as Marion. If Nicole gives Marion 10 shortbreads, they will have an equal number of shortbreads. How many shortbreads does Nicole have at first?

	Case 1		Case 2
	Nicole	Marion	Nicole	Marion
Before	2 u + 15	9 u - 15	5.5 u + 10	5.5 u - 10
Change	- 15	+ 15	- 10	+ 10
After	2 u	9 u	5.5 u	5.5 u

Total number of shortbreads that Nicole and Marion have
= 2 u + 9 u
= 11 u 

Number of shortbreads that Nicole and Marion each has in the end is the same.

Number of shortbreads that Nicole and Marion each has in the end in Case 2
= 11 u ÷ 2
= 5.5 u

Number of shortbreads that Nicole had at first is the same in Case 1 and Case 2.

5.5 u + 10 = 2 u + 15
5.5 u - 2 u = 15 - 10
0.5 u = 5

1 u = 5 ÷ 0.5 = 10

Number of shortbreads that Nicole has
= 2 u + 15
= 2 x 10 + 15
= 20 + 15
= 35

Answer(s): 35