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? $\newline$ Answer:

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 \%

of students brought their lunch.

50

students brought their lunch. How many students in total are in Ridgewood Junior High School?

\newline

Answer:

Understand Relationship: Understand the relationship between the percentage of students who brought their lunch and the total number of students. The problem states that $25\%$ of students brought their lunch, and we know that $50$ students represent this $25\%$ . We need to find the total number of students.
Set Up Equation: Set up the equation to find the total number of students. $\newline$ Let the total number of students be represented by $T$ . Since $25\%$ of $T$ is equal to $50$ students, we can write the equation as: $\newline$ $0.25 \times T = 50$
Solve for T: Solve the equation for T. $\newline$ To find T, we divide both sides of the equation by $0.25$ : $\newline$ $T = \frac{50}{0.25}$
Perform Calculation: Perform the calculation to find the total number of students. $T = \frac{50}{0.25}$ $T = 200$
Verify Solution: Verify that the solution makes sense. $\newline$ If $200$ students are in the school and $25\%$ brought their lunch, then $200 \times 0.25$ should equal the number of students who brought their lunch, which is $50$ . $\newline$ $200 \times 0.25 = 50$ $\newline$ This confirms that our solution is correct.