Jen baked 56 cupcakes. ⁵₈ of the cupcakes were cherry cupcakes. The rest were peach cupcakes. She gave an equal number of cherry cupcakes and peach cupcakes away and had 2 times as many cherry cupcakes as peach cupcakes left. How many cupcakes did she give away?

	Cherry cupcakes	Peach cupcakes	Difference
Before	5x1 = 5 u	3x1 = 3 u	2x1 = 2 u
Change	- 1 u	- 1 u
After	2x2 = 4 u	1x2 = 2 u	1x2 = 2 u

Since Jen gave away an equal number of cherry cupcakes and peach cupcakes, the difference in the number of cherry cupcakes and peach cupcakes remains unchanged.  Make the difference in the cherry cupcakes and peach cupcakes the same.  LCM of 2 and 1 is 2.

Total number of cupcakes at first
= 5 u + 3 u
= 8 u

8 u = 56

1 u = 56 ÷ 8 = 7

Number of cupcakes that Jen gave away
= 1 u + 1 u
= 2 u
= 2 x 7 
= 14

Answer(s): 14