Answer:
There are 99 teachers at the school.
Here's how we can find the number of teachers:
Ratio Interpretation: In a 24:1 ratio, the first number (24) represents the number of students for every 1 teacher.
Proportionality: We can set up a proportion to find the number of teachers based on the number of students and the ratio.
Proportion:
students / teachers = 24 / 1
Solving for Teachers: We know the number of students (2380) and want to find the number of teachers (represented by the variable "x"). We can rewrite the proportion to solve for x:
2380 students / x teachers = 24 / 1
Cross-multiplication: To solve for x, multiply the terms diagonally so that the students and the "1" are on opposite sides:
2380 students * 1 = 24 * x teachers
Solve for x: Divide both sides by 24 to isolate x (the number of teachers):
x teachers = (2380 students * 1) / 24
x teachers = 2380 students / 24
Calculation: Simplify the expression:
x teachers = 99 teachers (approximately)
Therefore, the school has approximately 99 teachers.