The current ratio of students to teachers in a school is 30:1. If student enrollment increases by 50 and the number of teachers increases by 5, the ratio becomes 25:1. What is the current number of teachers?
Show answer & explanation
Correct answer: A
Explanation
Given:
Current ratio (students : teachers) = 30 : 1
Let the number of teachers = x
Then the number of students = 30x
After the increase,
Students = 30x + 50
Teachers = x + 5
New ratio = 25 : 1
30x + 50 = 25(x + 5)
30x + 50 = 25x + 125
5x = 75
x = 15