Math Problem Statement

Eight of the students in the class play a sport these 8 make up 25% of the class how many students are in the class

Solution

To find how many students are in the class, we can set up the equation based on the information provided.

We know that:

  • 8 students play a sport.
  • These 8 students represent 25% of the class.

Let xx represent the total number of students in the class. Since 25% of the class is equal to 8 students, we can write the equation as:

25100×x=8\frac{25}{100} \times x = 8

Simplify the fraction:

0.25×x=80.25 \times x = 8

Now, solve for xx:

x=80.25x = \frac{8}{0.25}

x=32x = 32

So, there are 32 students in the class.


Would you like further details on the steps, or do you have any questions about the problem? Here are some related questions:

  1. If 12 students in the class played a sport, what percentage would they represent?
  2. If 40% of the class plays a sport, and there are 32 students, how many students play a sport?
  3. How many students in a class of 40 would make up 25%?
  4. If 50 students represent 25% of the class, what is the total class size?
  5. If 60% of the class plays a sport, how many students are there in total if 12 students play?

Tip: To find percentages, always convert the percentage into a decimal (e.g., 25% becomes 0.25) before multiplying by the total quantity.

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Math Problem Analysis

Mathematical Concepts

Proportions
Percentages
Algebra

Formulas

Percentage formula: (part/whole) = percentage

Theorems

Basic percentage calculation

Suitable Grade Level

Grades 5-7