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

In Roberto's family, 75% are women and there are 9 men.

Calculate the number of females in Roberto's family.

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.

• Step 1: Understand the percentage breakdown.

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.

• Step 2: Set up the equation for men.

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:

$0.25x = 9$

• Step 3: Solve for the total number of family members.

We solve the equation for $x$:

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

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

• Step 4: Calculate the number of females.

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.