How many total students are in Mr. Griffin's class?

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Understand the Problem

The question asks how many total students are in Mr. Griffin's class, given that 24 students represent 80% of the class. To find the total number of students, we can use a proportion based on the given percentage.

Answer

The total number of students in Mr. Griffin's class is \( 30 \).
Answer for screen readers

The total number of students in Mr. Griffin's class is ( 30 ).

Steps to Solve

  1. Understand the Percentage Relationship To find the total number of students in the class, we know that 24 students represent 80% of the class. We need to determine what 100% (the total class) is.

  2. Set Up the Equation Let ( x ) be the total number of students in Mr. Griffin's class. From the information provided, we can express this relationship as: $$ 0.80x = 24 $$ This equation states that 80% of the total number of students equals 24.

  3. Solve for the Total Number of Students To isolate ( x ), divide both sides of the equation by 0.80: $$ x = \frac{24}{0.80} $$

  4. Calculate the Value Now perform the calculation: $$ x = \frac{24}{0.80} = 30 $$ So the total number of students in Mr. Griffin's class is 30.

The total number of students in Mr. Griffin's class is ( 30 ).

More Information

In Mr. Griffin's class, 80% represented by 24 students is a common scenario in percentage problems. This illustrates how to convert a part into a whole using percentages.

Tips

  • Misunderstanding percentages: A common mistake is thinking that 24 is the total when it’s a part. Always remember to identify what the part and whole are.
  • Incorrectly calculating the division: Ensure to accurately divide to find the total number of students. Double-check calculations for errors.

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