Xuan baked 96 muffins. ⁵₈ of the muffins were vanilla muffins. The rest were chocolate muffins. She gave an equal number of vanilla muffins and chocolate muffins away and had 4 times as many vanilla muffins as chocolate muffins left. How many muffins did she give away?

	Vanilla muffins	Chocolate muffins	Difference
Before	5x3 = 15 u	3x3 = 9 u	2x3 = 6 u
Change	- 7 u	- 7 u
After	4x2 = 8 u	1x2 = 2 u	3x2 = 6 u

Since Xuan gave away an equal number of vanilla muffins and chocolate muffins, the difference in the number of vanilla muffins and chocolate muffins remains unchanged.  Make the difference in the vanilla muffins and chocolate muffins the same.  LCM of 2 and 3 is 6.

Total number of muffins at first
= 15 u + 9 u
= 24 u

24 u = 96

1 u = 96 ÷ 24 = 4

Number of muffins that Xuan gave away
= 7 u + 7 u
= 14 u
= 14 x 4 
= 56

Answer(s): 56