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Of all the students enrolled at Anderson High School, are in the band. The band has members. How many students are enrolled at Anderson?
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Q. Of all the students enrolled at Anderson High School, are in the band. The band has members. How many students are enrolled at Anderson?
- Understanding the relationship: Understand the relationship between percentages and whole numbers.We know that the band, which is of the total student body, has members. To find the total number of students, we need to determine what number is of.
- Writing as a decimal: Write as a decimal.
- Setting up the equation: Set up the equation to find the total number of students.Let the total number of students be represented by the variable . According to the problem, of is equal to the number of band members, which is .So, we have the equation:
- Solving for x: Solve for x to find the total number of students.Divide both sides of the equation by to isolate .
- Calculating the total number: Calculate the total number of students.
- Verifying the solution: Verify the solution.If there are students in total and are in the band, then should equal the number of band members.This confirms that our calculation is correct.
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