Eugene received many emails over the weekend. 2/7 of the emails were work related and 7/10 of the remaining mails were from friends. 3/4 of the remaining emails were advertisements. Given that Eugene received 14 more emails from work than from advertisements, how many emails did he get over the weekend?

1 answer

Let X be the total number of emails Eugene received.
After work-related emails, Eugene received X - 2/7*X = 5/7*X friend mails.
After friends, Eugene received 5/7*X - 7/10*5/7*X = 3/10*X ads.
Eugene received 14 more work-related emails than ads: 2/7*X - 3/10*X = 14.
Multiplying both sides by 70, we get 20X - 21X = 980.
Adding 21X to both sides, we get -980 = X.
Thus, Eugene received -980 emails over the weekend. Answer: \boxed{980}.