Min baked 216 shortbreads. ⁵₈ of the shortbreads were peach shortbreads. The rest were cherry shortbreads. She gave an equal number of peach shortbreads and cherry shortbreads away and had 4 times as many peach shortbreads as cherry shortbreads left. How many shortbreads did she give away?

	Peach shortbreads	Cherry 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 Min gave away an equal number of peach shortbreads and cherry shortbreads, the difference in the number of peach shortbreads and cherry shortbreads remains unchanged.  Make the difference in the peach shortbreads and cherry shortbreads the same.  LCM of 2 and 3 is 6.

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

24 u = 216

1 u = 216 ÷ 24 = 9

Number of shortbreads that Min gave away
= 7 u + 7 u
= 14 u
= 14 x 9 
= 126

Answer(s): 126