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?
Thoughts? Step-by-step reasoning:
Cristian eats 3 / 4 * 80 = 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 = 20. In his cookie jar, Cristian also has 80 + 50 = 130 black cookies. He eats 1 / 2 * 130 = 65 black cookies from the cookie jar. He remains with 130 - 65 = 65 black cookies after eating half of them. In total, Cristian has 65 + 20 = 85 cookies remaining in the jar.
Thus, the answer is 85.