Sarah baked 144 muffins. ⁵₈ of the muffins were butter cream muffins. The rest were cherry muffins. She gave an equal number of butter cream muffins and cherry muffins away and had 5 times as many butter cream muffins as cherry muffins left. How many muffins did she give away?

	Butter cream muffins	Cherry muffins	Difference
Before	5x2 = 10 u	3x2 = 6 u	2x2 = 4 u
Change	- 5 u	- 5 u
After	5x1 = 5 u	1x1 = 1 u	4x1 = 4 u

Since Sarah gave away an equal number of butter cream muffins and cherry muffins, the difference in the number of butter cream muffins and cherry muffins remains unchanged.  Make the difference in the butter cream muffins and cherry muffins the same.  LCM of 2 and 4 is 4.

Total number of muffins at first
= 10 u + 6 u
= 16 u

16 u = 144

1 u = 144 ÷ 16 = 9

Number of muffins that Sarah gave away
= 5 u + 5 u
= 10 u
= 10 x 9 
= 90

Answer(s): 90