Question

If a company employs two office assistants for every nine architects (a staffing ratio of 2:9) and it plans to expand and hire eighteen new architects, how many new office assistants will it need to hire?

Answer 1

4

Step-by-step explanation:

Given:

A company employs two office assistants for every nine architects and

ratio is given = 2:9

Question asked:

How many new office assistants will it need to hire as it plans to hire eighteen new architects = ?

Solution:

Let ratio of new office assistants =
`x`

Ratio of two office assistants for every nine architects = 2:9

By using formula of ratio and proportion:

Ratio of two office assistants for every nine architects : : ratio of new office assistants for eighteen new architects,

2 : 9 : :
`x` : 18

`(2)/(9) = (x)/(18) \\`

By cross multiplication,

`2*18 = x *18\\36 = 9 x`

Dividing both side by 9,

`x = 4`

Thus, 4 new office assistants will it need to hire.