Part 1: The statistics class is what percentage male?

To find the percentage of the class that is male, we can use the formula:

$\text{Percentage of males} = \left( \frac{\text{Number of males}}{\text{Total number of students}} \right) \times 100$

In this case:

• Number of males = 12
• Total number of students = 12 + 22 = 34

Now, applying the formula:

$\text{Percentage of males} = \left( \frac{12}{34} \right) \times 100 = 35.29\%$

Thus, the statistics class is 35.29% male.

---

Part 2: A different class has 251 students, and 57.4% of them are men. How many men are in the class?

To find the number of men in the class, we use the percentage:

$\text{Number of men} = \left( \frac{57.4}{100} \right) \times 251$

$\text{Number of men} = 0.574 \times 251 = 144.074$

So, there are approximately 144 men in the class (rounding to the nearest whole number).

---

Part 3: A different class is made up of 40% women and has 20 women in it. What is the total number of students in the class?

Here, we know that 40% of the students are women, and the total number of women is 20. Let the total number of students be $x$.

We set up the equation:

$0.40x = 20$

Now, solve for $x$:

$x = \frac{20}{0.40} = 50$

So, the total number of students in the class is 50.

---

Would you like further details or have any questions?

Here are 5 related questions:

1. What if the class had 30% males instead of 40% women, how would you calculate the total number of students?
2. If a class is made up of 60% men, and there are 180 men, what is the total class size?
3. In a class where 25% of students are male, and there are 50 women, how many men are in the class?
4. How would you find the percentage of women in the statistics class if you were only given the number of women and the total number of students?
5. If a class has 150 students, and 40% of them are women, how many men are in the class?

Tip: Always double-check your percentage calculations by ensuring the total adds up to 100%. You can check that the male and female percentages sum correctly to verify your work!