Out of the 400 emails that Antonia received in her mail, 1/4 were spam emails, while 2/5 of the remaining emails were promotional messages. If the rest of the emails were important emails, calculate the total number of important emails in her inbox.
How many spam emails were there? ** Out of the 400 emails, 1/4*400 = <<400*1/4=100>>100 emails were spam emails.
How many non-spam emails were there? ** The number of emails that were not spam emails is 400-100 = <<400-100=300>>300
How many promotional emails were there? ** 2/5 of the emails which were not spam were promotional emails, a total of 2/5*300=<<2/5*300=120>>120 emails.
How many important emails were there? ** If the rest of the emails were important emails, there were 300-120 = <<300-120=180>>180 important emails.
#### 180