Emma baked 105 scones. ³₅ of the scones were butter cream scones. The rest were matcha scones. She gave an equal number of butter cream scones and matcha scones away and had 4 times as many butter cream scones as matcha scones left. How many scones did she give away?

	Butter cream scones	Matcha scones	Difference
Before	3x3 = 9 u	2x3 = 6 u	1x3 = 3 u
Change	- 5 u	- 5 u
After	4x1 = 4 u	1x1 = 1 u	3x1 = 3 u

Since Emma gave away an equal number of butter cream scones and matcha scones, the difference in the number of butter cream scones and matcha scones remains unchanged.  Make the difference in the butter cream scones and matcha scones the same.  LCM of 1 and 3 is 3.

Total number of scones at first
= 9 u + 6 u
= 15 u

15 u = 105

1 u = 105 ÷ 15 = 7

Number of scones that Emma gave away
= 5 u + 5 u
= 10 u
= 10 x 7 
= 70

Answer(s): 70