All students in Ridgewood Junior High School either got their lunch in the school cafeteria or brought it from home on Tuesday. 20% of students brought their lunch. 41 students brought their lunch. How many students in total are in Ridgewood Junior High School?Answer: □
Q. All students in Ridgewood Junior High School either got their lunch in the school cafeteria or brought it from home on Tuesday. 20% of students brought their lunch. 41 students brought their lunch. How many students in total are in Ridgewood Junior High School?Answer: □
Understand Problem: Understand the problem and determine what is given and what needs to be found.We are given that 20% of the students brought their lunch, which equates to 41 students. We need to find the total number of students in the school.
Set Up Equation: Set up the equation to find the total number of students.If 20% of students brought their lunch and that represents 41 students, we can set up the equation:20% of Total Students = 41
Convert to Decimal: Convert the percentage to a decimal to perform the calculation. 20% as a decimal is 0.20. So the equation becomes: 0.20×Total Students=41
Solve for Total: Solve for the Total Students.To find the Total Students, we divide the number of students who brought their lunch by the decimal percentage.Total Students = 0.2041
Perform Division: Perform the division to find the total number of students.Total Students = 41/0.20=205
Verify Solution: Verify the solution.If there are 205 students in total and 20% brought their lunch, then 0.20×205 should equal 41.0.20×205=41This confirms our solution is correct.