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

	Strawberry 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 Fiona gave away an equal number of strawberry muffins and mocha muffins, the difference in the number of strawberry muffins and mocha muffins remains unchanged.  Make the difference in the strawberry 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 Fiona gave away
= 3 u + 3 u
= 6 u
= 6 x 5 
= 30

Answer(s): 30