Victoria baked 60 cookies. ³₅ of the cookies were cherry cookies. The rest were peach cookies. She gave an equal number of cherry cookies and peach cookies away and had 5 times as many cherry cookies as peach cookies left. How many cookies did she give away?

	Cherry cookies	Peach cookies	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 Victoria gave away an equal number of cherry cookies and peach cookies, the difference in the number of cherry cookies and peach cookies remains unchanged.  Make the difference in the cherry cookies and peach cookies the same.  LCM of 1 and 4 is 4.

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

20 u = 60

1 u = 60 ÷ 20 = 3

Number of cookies that Victoria gave away
= 7 u + 7 u
= 14 u
= 14 x 3 
= 42

Answer(s): 42