Answer:
4
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 = [tex]x[/tex]
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 : : [tex]x[/tex] : 18
[tex]\frac{2}{9} = \frac{x}{18} \\[/tex]
By cross multiplication,
[tex]2\times18 = x \times18\\36 = 9 x[/tex]
Dividing both side by 9,
[tex]x = 4[/tex]
Thus, 4 new office assistants will it need to hire.
