Xuan baked 192 shortbreads. ⁵₈ of the shortbreads were mocha shortbreads. The rest were chocolate shortbreads. She gave an equal number of mocha shortbreads and chocolate shortbreads away and had 4 times as many mocha shortbreads as chocolate shortbreads left. How many shortbreads did she give away?

	Mocha shortbreads	Chocolate shortbreads	Difference
Before	5x3 = 15 u	3x3 = 9 u	2x3 = 6 u
Change	- 7 u	- 7 u
After	4x2 = 8 u	1x2 = 2 u	3x2 = 6 u

Since Xuan gave away an equal number of mocha shortbreads and chocolate shortbreads, the difference in the number of mocha shortbreads and chocolate shortbreads remains unchanged.  Make the difference in the mocha shortbreads and chocolate shortbreads the same.  LCM of 2 and 3 is 6.

Total number of shortbreads at first
= 15 u + 9 u
= 24 u

24 u = 192

1 u = 192 ÷ 24 = 8

Number of shortbreads that Xuan gave away
= 7 u + 7 u
= 14 u
= 14 x 8 
= 112

Answer(s): 112