Rachel baked 90 muffins. ³₅ of the muffins were butter cream muffins. The rest were peach muffins. She gave an equal number of butter cream muffins and peach muffins away and had 3 times as many butter cream muffins as peach muffins left. How many muffins did she give away?

	Butter cream muffins	Peach muffins	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 Rachel gave away an equal number of butter cream muffins and peach muffins, the difference in the number of butter cream muffins and peach muffins remains unchanged.  Make the difference in the butter cream muffins and peach muffins the same.  LCM of 1 and 2 is 2.

Total number of muffins at first
= 6 u + 4 u
= 10 u

10 u = 90

1 u = 90 ÷ 10 = 9

Number of muffins that Rachel gave away
= 3 u + 3 u
= 6 u
= 6 x 9 
= 54

Answer(s): 54