Multiple choice

A certain college has a student-to-teacher ratio of 11 to 1. The average (arithmetic mean) annual salary of a teacher is \$26,000. If the college pays a total of \$3,380,000 in annual salaries to its teachers, how many students does the college have?

  1. 130

  2. 1690

  3. 1,300

  4. 1,430

  5. 1,560

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total salary paid is 3,380,000 and average salary is 26,000, so the number of teachers is 3,380,000 / 26,000 = 130. Given the student-to-teacher ratio is 11:1, the number of students is 130 * 11 = 1430.

AI explanation

First, determine the number of teachers by dividing the total salary paid by the average salary: $3,380,000 / $26,000 = 130 teachers. Using the given student-to-teacher ratio, multiply the number of teachers by 11 to find the number of students. The total number of students is 130 * 11 = 1,430.