The student to faculty ratio at a small elementary school is 17:3 The total of students and faculty is 400 How many faculty members are there at the elementary. How many students?

Answer: 60 faculty, 340 students

Explanation:

x is some unknown number such that

17x = number of students

3x = number of faculty

17x+3x = 20x = 400 = total number of people

20x = 400 solves to x = 20

Therefore,

17x = 17*20 = 340 students

3x = 3*20 = 60 faculty

The ratio 340:60 reduces to 17:3 after dividing both parts by the GCF 20