Gillian baked 50 muffins. ³₅ of the muffins were butter cream muffins. The rest were mocha muffins. She gave an equal number of butter cream muffins and mocha muffins away and had 3 times as many butter cream muffins as mocha muffins left. How many muffins did she give away?

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

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

10 u = 50

1 u = 50 ÷ 10 = 5

Number of muffins that Gillian gave away
= 3 u + 3 u
= 6 u
= 6 x 5 
= 30

Answer(s): 30