Question

The ratio of employees who

play musical instruments to
employees who play sports is
3:20. If there are 40
employees who play sports,
how many employees play
musical instruments?

Answer 1

Employees who play musical instruments = 6

Explanation:

Given that:

Ratio of employees who play musical instruments to employees who play sports is 3 : 20

Number of employees who play sports = 40

Let,

x be the number of employees who play musical instruments.

Ratio = x : 40

As the relationship is proportional,

3 : 20 :: x : 40

Product of mean = Product of extreme

20x = 120

Dividing both sides by 20

`(20x)/(20)=(120)/(20)\\x=6`

Hence,

Employees who play musical instruments = 6