Q. Of all the students enrolled at Anderson High School, 9% are in the band. The band has 180 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 9% of the total student body, has 180 members. To find the total number of students, we need to determine what number 180 is 9% of.
Writing 9% as a decimal: Write 9% as a decimal.9%=1009=0.09
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 x. According to the problem, 9% of x is equal to the number of band members, which is 180.So, we have the equation: 0.09×x=180
Solving for x: Solve for x to find the total number of students.Divide both sides of the equation by 0.09 to isolate x.x=0.09180
Calculating the total number: Calculate the total number of students. x=0.09180x=2000
Verifying the solution: Verify the solution.If there are 2000 students in total and 9% are in the band, then 0.09×2000 should equal the number of band members.0.09×2000=180This confirms that our calculation is correct.
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