Calculate 75% of Total Population: Finding Female Count Given 9 Males

Video Solution

Solution Steps

00:00 Establish the number of women in Roberto's family

00:05 The percentage of women according to the given data

00:10 Subtract this percentage from the whole in order to establish the percentage of males

00:15 This is the percentage of males in the family

00:20 The number of males according to the given data

00:30 Multiply by 3 in order to determine the amount equal to 75 percent

00:45 This is the solution

Step-by-Step Solution

To solve this problem, let's begin by understanding the situation:

In Roberto's family, 75% of the members are women, and there are 9 men. We need to determine the number of females in the family.

If 75% of the family are women, then 25% are men. This is because percentages of 100% are divided into parts that represent the whole group.

Since 25% of the family are men and there are 9 men, the equation for the total number of family members, $x$ , based on the men is:

$0.25x = 9$

We solve the equation for $x$ :

$x = \frac{9}{0.25} = 36$

This tells us that there are 36 members in the family.

Now, calculate the number of females, which is 75% of the total family:

$\text{Number of females} = 0.75 \times 36 = 27$

Therefore, the number of females in Roberto's family is 27.