Tammy baked 100 cupcakes. ³₅ of the cupcakes were cherry cupcakes. The rest were chocolate cupcakes. She gave an equal number of cherry cupcakes and chocolate cupcakes away and had 5 times as many cherry cupcakes as chocolate cupcakes left. How many cupcakes did she give away?

	Cherry cupcakes	Chocolate cupcakes	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 Tammy gave away an equal number of cherry cupcakes and chocolate cupcakes, the difference in the number of cherry cupcakes and chocolate cupcakes remains unchanged.  Make the difference in the cherry cupcakes and chocolate cupcakes the same.  LCM of 1 and 4 is 4.

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

20 u = 100

1 u = 100 ÷ 20 = 5

Number of cupcakes that Tammy gave away
= 7 u + 7 u
= 14 u
= 14 x 5 
= 70

Answer(s): 70