Betty baked 120 shortbreads. ³₅ of the shortbreads were strawberry shortbreads. The rest were cherry shortbreads. She gave an equal number of strawberry shortbreads and cherry shortbreads away and had 3 times as many strawberry shortbreads as cherry shortbreads left. How many shortbreads did she give away?

	Strawberry shortbreads	Cherry shortbreads	Difference
Before	3x2 = 6 u	2x2 = 4 u	1x2 = 2 u
Change	- 3 u	- 3 u
After	3x1 = 3 u	1x1 = 1 u	2x1 = 2 u

Since Betty gave away an equal number of strawberry shortbreads and cherry shortbreads, the difference in the number of strawberry shortbreads and cherry shortbreads remains unchanged.  Make the difference in the strawberry shortbreads and cherry shortbreads the same.  LCM of 1 and 2 is 2.

Total number of shortbreads at first
= 6 u + 4 u
= 10 u

10 u = 120

1 u = 120 ÷ 10 = 12

Number of shortbreads that Betty gave away
= 3 u + 3 u
= 6 u
= 6 x 12 
= 72

Answer(s): 72