Yoko and Kylie have some shortbreads each. If Yoko gives Kylie 27 shortbreads, Yoko will have ¹₂ as many shortbreads as Kylie. If Yoko gives Kylie 10 shortbreads, they will have an equal number of shortbreads. How many shortbreads does Kylie have at first?

	Case 1		Case 2
	Yoko	Kylie	Yoko	Kylie
Before	1 u + 27	2 u - 27	1.5 u + 10	1.5 u - 10
Change	- 27	+ 27	- 10	+ 10
After	1 u	2 u	1.5 u	1.5 u

Total number of shortbreads that Yoko and Kylie have
= 1 u + 2 u
= 3 u 

Number of shortbreads that Yoko and Kylie each has in the end is the same.

Number of shortbreads that Yoko and Kylie each has in the end in Case 2
= 3 u ÷ 2
= 1.5 u

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

1.5 u + 10 = 1 u + 27
1.5 u - 1 u = 27 - 10
0.5 u = 17

1 u = 17 ÷ 0.5 = 34

Number of shortbreads that Kylie has
= 2 u - 27
= 2 x 34 - 27
= 68 - 27
= 41

Answer(s): 41