If `65%` of the people in a meeting are males and the number of females are 504, then the number of males is _______.

Options

A. 1176
B. 1408
C. 1440
D. 936

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Understand the problem
We know that 65% of the people in a meeting are males, and the number of females is given as 504. We need to find the number of males.

### Step 2: Determine the percentage of females
Since 65% of the people are males, the percentage of females is:
\[ 100\% - 65\% = 35\% \]

### Step 3: Set up the equation
Let the total number of people in the meeting be \( x \). According to the problem, 35% of the total number of people is equal to the number of females:
\[ 35\% \text{ of } x = 504 \]
This can be expressed mathematically as:
\[ \frac{35}{100} \times x = 504 \]

### Step 4: Solve for \( x \)
To isolate \( x \), we can multiply both sides of the equation by 100:
\[ 35x = 504 \times 100 \]
\[ 35x = 50400 \]
Now, divide both sides by 35:
\[ x = \frac{50400}{35} \]

### Step 5: Calculate \( x \)
Now we perform the division:
\[ x = 1440 \]
So, the total number of people in the meeting is 1440.

### Step 6: Calculate the number of males
Now that we have the total number of people, we can find the number of males. Since 65% of the total number of people are males:
\[ \text{Number of males} = 65\% \text{ of } 1440 \]
This can be calculated as:
\[ \text{Number of males} = \frac{65}{100} \times 1440 \]
\[ \text{Number of males} = 936 \]

### Final Answer
The number of males in the meeting is **936**.

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