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

	Strawberry shortbreads	Butter cream 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 Yen gave away an equal number of strawberry shortbreads and butter cream shortbreads, the difference in the number of strawberry shortbreads and butter cream shortbreads remains unchanged.  Make the difference in the strawberry shortbreads and butter cream 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 Yen gave away
= 7 u + 7 u
= 14 u
= 14 x 4 
= 56

Answer(s): 56