Nora baked 96 shortbreads. ⁵₈ of the shortbreads were chocolate shortbreads. The rest were cherry shortbreads. She gave an equal number of chocolate shortbreads and cherry shortbreads away and had 4 times as many chocolate shortbreads as cherry shortbreads left. How many shortbreads did she give away?

	Chocolate 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 Nora gave away an equal number of chocolate shortbreads and cherry shortbreads, the difference in the number of chocolate shortbreads and cherry shortbreads remains unchanged.  Make the difference in the chocolate 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 = 96

1 u = 96 ÷ 24 = 4

Number of shortbreads that Nora gave away
= 7 u + 7 u
= 14 u
= 14 x 4 
= 56

Answer(s): 56