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? $\newline$ 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.

20 \%

of students brought their lunch.

41

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

\newline

Answer:

Understand Problem: Understand the problem and identify the given information. $\newline$ We know that $20\%$ of the students brought their lunch, and that number is $41$ 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. $\newline$ Let the total number of students be $T$ . Since $20\%$ of $T$ is equal to $41$ , we can write the equation as: $\newline$ $0.20 \times T = 41$
Solve Equation: Solve the equation for $T$ to find the total number of students. $\newline$ Divide both sides of the equation by $0.20$ to isolate $T$ : $\newline$ $T = \frac{41}{0.20}$
Calculate Total: Calculate the total number of students. $\newline$ $T = \frac{41}{0.20}$ $\newline$ $T = 205$