Sabrina baked 24 cupcakes. ⁵₈ of the cupcakes were strawberry cupcakes. The rest were matcha cupcakes. She gave an equal number of strawberry cupcakes and matcha cupcakes away and had 2 times as many strawberry cupcakes as matcha cupcakes left. How many cupcakes did she give away?

	Strawberry cupcakes	Matcha 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 Sabrina gave away an equal number of strawberry cupcakes and matcha cupcakes, the difference in the number of strawberry cupcakes and matcha cupcakes remains unchanged.  Make the difference in the strawberry cupcakes and matcha cupcakes the same.  LCM of 2 and 1 is 2.

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

8 u = 24

1 u = 24 ÷ 8 = 3

Number of cupcakes that Sabrina gave away
= 1 u + 1 u
= 2 u
= 2 x 3 
= 6

Answer(s): 6