Each of the students in Mrs. Hernandez's class started a diary on the first day of school. There are fourteen students in her class. Three-sevenths of the students wrote in their diaries every day. Two-sevenths of the students wrote in their diaries at least three days each week. The rest of the students wrote in their diaries once each week. How many students wrote in their diaries at least three days each week?

Two-sevenths of the students wrote in their diaries at least three days each week, so two-sevenths of fourteen students wrote in their diaries at least three days each week. This is equal to 8 students.