<human>:  Cristian has 50 more black cookies in his cookie jar than white cookies. He eats half of the black cookies and 3/4 of the white cookies. If he initially had 80 white cookies, how many cookies are remaining within the cookie jar altogether?
<bot>: How many white cookies does Cristian eat? ** Cristian eats 3/4*80 = <<3/4*80=60>>60 white cookies from the jar, 3/4 of the total number of white cookies in the cookie jar.
How many white cookies are remaining? ** The number of white cookies remaining in the cookie jar is 80-60 =<<80-60=20>>20
How many black cookies does Cristian have? ** In his cookie jar, Cristian also has 80+50 = <<80+50=130>>130 black cookies.
How many black cookies does Cristian eat? ** He eats 1/2*130 = <<130*1/2=65>>65 black cookies from the cookie jar.
How many black cookies remain? ** He remains with 130-65 = <<130-65=65>>65 black cookies after eating half of them.
How many cookies are remaining altogether? ** In total, Cristian has 65+20 = <<65+20=85>>85 cookies remaining in the jar.
#### 85