question_answer 1)

There are 102 teachers in a school of 3300 students. Find the ratio of the number of teachers to the number of students.

Answer:

                Given, number of teachers = 102 and number of students = 3300 \[\therefore \] Required ratio of teachers to the number of students \[\text{=}\frac{\text{Number}\,\text{of}\,\text{teachers}}{\text{Number}\,\text{of}\,\text{students}}=\frac{102}{3300}\] \[\because \]\[102=2\times 3\times 17\]and\[3300=2\times 3\times 2\times 5\times 5\times 11\] \[\therefore \]HCF of 102 and \[3300=2\times 3=3=\frac{102+6}{3300\div 6}=\frac{17}{550}=17:550\]