Question

A software company keeps a ratio of 2.5 testers to every 10 software developers. If the company hires 20 developer in one year, how many testers will they need to hire to keep the ratios right?

Answer 1

5

Explanation:

Let x be the number of the developers that there were in the company before the hirings, and y the number of testers.

You now that:

`(y)/(x)  = (2.5)/(10)`

Then,

y =
`(2.5x)/(10)`

Now:

`(y + n)/(x + 20) = (2.5)/(10)`

`(2.5x)/(10)` + n =
`(2.5(x+20))/(10)` =
`(2.5x)/(10)` +
`(2.5 * 20)/(10)`

n =
`(2.5 * 20)/(10)` = 5

Answer 2

They will need to hire 5 testers.

Explanation:

This question can be solved using a simple rule of three.

For each 10 developers, we need 2.5 testers. So how many testers are needed for 20 developers?

10 developers - 2.5 testers

20 developers - x testes

`10x = 20*2.5`

`10x = 50`

`x = (50)/(10)`

`x = 5`

They will need to hire 5 testers.