A city police force is made up of 24% females. If there are 72 females on the force, how many males are on the force?

Respuesta :

Answer:

228 males

Step-by-step explanation:

Let x be the number of males.

This means x + 72 is the total number of people.

So [tex]\frac{72}{x+72}[/tex] is the fraction of females in the force.

Thus, we can form the equation:

[tex]\frac{72}{x+72} = 0.24[/tex]

[tex]x+72 = \frac{72}{0.24}[/tex]

[tex]x = \frac{72}{0.24} -72[/tex]

[tex]x = 228[/tex]

Thus, the answer is 228 males.