Xandra baked 200 muffins. ³₅ of the muffins were peach muffins. The rest were chocolate muffins. She gave an equal number of peach muffins and chocolate muffins away and had 5 times as many peach muffins as chocolate muffins left. How many muffins did she give away?

	Peach muffins	Chocolate muffins	Difference
Before	3x4 = 12 u	2x4 = 8 u	1x4 = 4 u
Change	- 7 u	- 7 u
After	5x1 = 5 u	1x1 = 1 u	4x1 = 4 u

Since Xandra gave away an equal number of peach muffins and chocolate muffins, the difference in the number of peach muffins and chocolate muffins remains unchanged.  Make the difference in the peach muffins and chocolate muffins the same.  LCM of 1 and 4 is 4.

Total number of muffins at first
= 12 u + 8 u
= 20 u

20 u = 200

1 u = 200 ÷ 20 = 10

Number of muffins that Xandra gave away
= 7 u + 7 u
= 14 u
= 14 x 10 
= 140

Answer(s): 140