Gillian baked 140 muffins. ³₅ of the muffins were chocolate muffins. The rest were mocha muffins. She gave an equal number of chocolate muffins and mocha muffins away and had 5 times as many chocolate muffins as mocha muffins left. How many muffins did she give away?

	Chocolate muffins	Mocha 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 Gillian gave away an equal number of chocolate muffins and mocha muffins, the difference in the number of chocolate muffins and mocha muffins remains unchanged.  Make the difference in the chocolate muffins and mocha muffins the same.  LCM of 1 and 4 is 4.

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

20 u = 140

1 u = 140 ÷ 20 = 7

Number of muffins that Gillian gave away
= 7 u + 7 u
= 14 u
= 14 x 7 
= 98

Answer(s): 98