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

	Peach shortbreads	Chocolate 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 Lynn gave away an equal number of peach shortbreads and chocolate shortbreads, the difference in the number of peach shortbreads and chocolate shortbreads remains unchanged.  Make the difference in the peach shortbreads and chocolate 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 Lynn gave away
= 3 u + 3 u
= 6 u
= 6 x 12 
= 72

Answer(s): 72