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.

The number of white cookies remaining in the cookie jar is 80-60 =<<80-60=20>>20

In his cookie jar, Cristian also has 80+50 = <<80+50=130>>130 black cookies.

He eats 1/2*130 = <<130*1/2=65>>65 black cookies from the cookie jar.

He remains with 130-65 = <<130-65=65>>65 black cookies after eating half of them.

In total, Cristian has 65+20 = <<65+20=85>>85 cookies remaining in the jar.

# Answer

85
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
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?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
85
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?
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