Institution Girls Boys Teachers School 3000 2500 690 College 9000 11000 1500 University 15000 16000 2000
What is ratio of total students to college and university teachers?
Ratio Calculation: Students to Teachers
The question requires calculating the ratio of total students to the combined number of college and university teachers, based on the provided table data.
Step 1: Calculate Total Students
First, find the total number of students by summing the girls and boys across all institutions:
- School Students: $3000 \text{ Girls} + 2500 \text{ Boys} = 5500$
- College Students: $9000 \text{ Girls} + 11000 \text{ Boys} = 20000$
- University Students: $15000 \text{ Girls} + 16000 \text{ Boys} = 31000$
- Total Students = $5500 + 20000 + 31000 = 56500$
Step 2: Calculate Total College and University Teachers
Next, sum the number of teachers specifically from the College and University:
- College Teachers: $1500$
- University Teachers: $2000$
- Total College and University Teachers = $1500 + 2000 = 3500$
Step 3: Determine the Ratio and Simplify
Calculate the ratio of Total Students to Total College and University Teachers:
Ratio = Total Students : Total College and University Teachers
Ratio = $56500 : 3500$
To simplify this ratio, find the greatest common divisor or simplify in steps:
- Divide both sides by 100: $565 : 35$
- Divide both sides by 5: $(565 \div 5) : (35 \div 5) = 113 : 7$
The simplified ratio is $113 : 7$.
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