Question

All the members of a school chorus are either students or employees.The ratio of students to employees is 2:5 and the chorus has  70 members. How many employees are members of the chrous?

Answer 1

50 employees are members of the chorus

Explanation:

Total number of chorus members = 70

ratio of students to employees = 2:5

This means that if the total number of employees were to be divided into 7 parts (2 + 5), 2 parts will be students while 5 parts will be employees. Now let us convert this fraction/ratio to numbers. This is done as follows:

students to employees = 2:5

∴ employees to students = 5:2

Total parts of employees and students = 5 + 2 = 7

∴ Number of employees

`= (5)/(7)\ of\ 70\\= (5)/(7) * (70)/(1)\\= (350)/(7) = 50\ members`

∴ 50 members are employees, while the remaining 20 are students