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All students in Ridgewood Junior High School either got their lunch in the school cafeteria or brought it from home on Tuesday. 
25% of students brought their lunch. 50 students brought their lunch. How many students in total are in Ridgewood Junior High School?
Answer:

All students in Ridgewood Junior High School either got their lunch in the school cafeteria or brought it from home on Tuesday. 25% 25 \% of students brought their lunch. 5050 students brought their lunch. How many students in total are in Ridgewood Junior High School?\newlineAnswer:

Full solution

Q. All students in Ridgewood Junior High School either got their lunch in the school cafeteria or brought it from home on Tuesday. 25% 25 \% of students brought their lunch. 5050 students brought their lunch. How many students in total are in Ridgewood Junior High School?\newlineAnswer:
  1. Understand Relationship: Understand the relationship between the percentage of students who brought their lunch and the total number of students. The problem states that 25%25\% of students brought their lunch, and we know that 5050 students represent this 25%25\%. We need to find the total number of students.
  2. Set Up Equation: Set up the equation to find the total number of students.\newlineLet the total number of students be represented by TT. Since 25%25\% of TT is equal to 5050 students, we can write the equation as:\newline0.25×T=500.25 \times T = 50
  3. Solve for T: Solve the equation for T.\newlineTo find T, we divide both sides of the equation by 0.250.25:\newlineT=500.25T = \frac{50}{0.25}
  4. Perform Calculation: Perform the calculation to find the total number of students. T=500.25T = \frac{50}{0.25} T=200T = 200
  5. Verify Solution: Verify that the solution makes sense.\newlineIf 200200 students are in the school and 25%25\% brought their lunch, then 200×0.25200 \times 0.25 should equal the number of students who brought their lunch, which is 5050.\newline200×0.25=50200 \times 0.25 = 50\newlineThis confirms that our solution is correct.

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