Since 2 out of every 5 students liked healthy foods, we can calculate the number of students who liked healthy foods by first finding the number of sets of 5 students: 35 students / 5 students/set = <<35/5=7>>7 sets
Then multiply the number of sets by the number of students who liked healthy food per set to find the total number of students who like healthy food: 7 sets * 2 students/set = <<7*2=14>>14 students. Answer: \boxed{14}.