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?
Cristian eats 3/4*80 = 
<gadget id="calculator">3/4*80</gadget>
<output>60</output>
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 =
<gadget id="calculator">80-60</gadget>
<output>20</output>
20.
In his cookie jar, Cristian also has 80+50 = 
<gadget id="calculator">80+50</gadget>
<output>130</output>
130 black cookies.
He eats 1/2*130 = 
<gadget id="calculator">130*1/2</gadget>
<output>65</output>
65 black cookies from the cookie jar.
He remains with 130-65 = 
<gadget id="calculator">130-65</gadget>
<output>65</output>
65 black cookies after eating half of them.
In total, Cristian has 65+20 = 
<gadget id="calculator">65+20</gadget>
<output>85</output>
85 cookies remaining in the jar.

<result>85</result>