Xylia baked 30 shortbreads. ³₅ of the shortbreads were butter cream shortbreads. The rest were matcha shortbreads. She gave an equal number of butter cream shortbreads and matcha shortbreads away and had 3 times as many butter cream shortbreads as matcha shortbreads left. How many shortbreads did she give away?

	Butter cream shortbreads	Matcha shortbreads	Difference
Before	3x2 = 6 u	2x2 = 4 u	1x2 = 2 u
Change	- 3 u	- 3 u
After	3x1 = 3 u	1x1 = 1 u	2x1 = 2 u

Since Xylia gave away an equal number of butter cream shortbreads and matcha shortbreads, the difference in the number of butter cream shortbreads and matcha shortbreads remains unchanged.  Make the difference in the butter cream shortbreads and matcha shortbreads the same.  LCM of 1 and 2 is 2.

Total number of shortbreads at first
= 6 u + 4 u
= 10 u

10 u = 30

1 u = 30 ÷ 10 = 3

Number of shortbreads that Xylia gave away
= 3 u + 3 u
= 6 u
= 6 x 3 
= 18

Answer(s): 18