Erika baked 140 biscuits. ³₅ of the biscuits were matcha biscuits. The rest were mango biscuits. She gave an equal number of matcha biscuits and mango biscuits away and had 5 times as many matcha biscuits as mango biscuits left. How many biscuits did she give away?

	Matcha biscuits	Mango biscuits	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 Erika gave away an equal number of matcha biscuits and mango biscuits, the difference in the number of matcha biscuits and mango biscuits remains unchanged.  Make the difference in the matcha biscuits and mango biscuits the same.  LCM of 1 and 4 is 4.

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

20 u = 140

1 u = 140 ÷ 20 = 7

Number of biscuits that Erika gave away
= 7 u + 7 u
= 14 u
= 14 x 7 
= 98

Answer(s): 98