Xuan baked 192 shortbreads. ⁵₈ of the shortbreads were vanilla shortbreads. The rest were chocolate shortbreads. She gave an equal number of vanilla shortbreads and chocolate shortbreads away and had 5 times as many vanilla shortbreads as chocolate shortbreads left. How many shortbreads did she give away?

	Vanilla shortbreads	Chocolate shortbreads	Difference
Before	5x2 = 10 u	3x2 = 6 u	2x2 = 4 u
Change	- 5 u	- 5 u
After	5x1 = 5 u	1x1 = 1 u	4x1 = 4 u

Since Xuan gave away an equal number of vanilla shortbreads and chocolate shortbreads, the difference in the number of vanilla shortbreads and chocolate shortbreads remains unchanged.  Make the difference in the vanilla shortbreads and chocolate shortbreads the same.  LCM of 2 and 4 is 4.

Total number of shortbreads at first
= 10 u + 6 u
= 16 u

16 u = 192

1 u = 192 ÷ 16 = 12

Number of shortbreads that Xuan gave away
= 5 u + 5 u
= 10 u
= 10 x 12 
= 120

Answer(s): 120