Question

A preschool has a student to teacher ratio of 5:2 The total number of students and teachers was 56 last year and is 70 this year How many students and teachers were there for each of the two years

Answer 1

Explanation:

Student : teacher = 5 : 2

Number of students = 5x

Number of teachers = 2x

Last year:

Last year Total = 56

5x+ 2x = 56

7x = 56

x = 56/7

x = 8

Number of students = 5*8 = 40

Number of teachers = 2*8 = 16

This year:Total = 70

5x + 2x = 70

7x = 70

x = 70/7

x = 10

Number of students = 5*10 = 50

Number of teachers = 2*10 = 20