Raeann baked 60 shortbreads. ³₅ of the shortbreads were butter cream shortbreads. The rest were mango shortbreads. She gave an equal number of butter cream shortbreads and mango shortbreads away and had 5 times as many butter cream shortbreads as mango shortbreads left. How many shortbreads did she give away?

	Butter cream shortbreads	Mango shortbreads	Difference
Before	3x4 = 12 u	2x4 = 8 u	1x4 = 4 u
Change	- 7 u	- 7 u
After	5x1 = 5 u	1x1 = 1 u	4x1 = 4 u

Since Raeann gave away an equal number of butter cream shortbreads and mango shortbreads, the difference in the number of butter cream shortbreads and mango shortbreads remains unchanged.  Make the difference in the butter cream shortbreads and mango shortbreads the same.  LCM of 1 and 4 is 4.

Total number of shortbreads at first
= 12 u + 8 u
= 20 u

20 u = 60

1 u = 60 ÷ 20 = 3

Number of shortbreads that Raeann gave away
= 7 u + 7 u
= 14 u
= 14 x 3 
= 42

Answer(s): 42