Math Problem Statement
Solution
The question asks to find the total number of students at Ridgewood Junior High School. Here's the important information from the problem:
- 20% of students brought their lunch.
- 39 students brought their lunch.
We can set up a proportion to find the total number of students in the school.
Let be the total number of students. Since 20% (or ) of the total students equals 39 students, the equation is:
Now, solve for .
First, multiply both sides by 100 to get rid of the fraction:
Next, divide both sides by 20:
So, there are 195 students in total at Ridgewood Junior High School.
Would you like a more detailed explanation or help with something else? Here are 5 related questions you might find useful:
- How do you solve for percentages in other types of problems?
- What happens when the percentage is unknown, but you know the total and a part?
- Can you find how many students didn’t bring their lunch?
- How would the problem change if 25% of the students brought lunch instead?
- How can you use a different method, such as ratio reasoning, to solve this?
Tip: When solving percentage problems, always check if converting the percentage to a fraction helps simplify the equation!
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Math Problem Analysis
Mathematical Concepts
Percentage
Proportion
Formulas
Percentage formula: (Part / Whole) * 100 = Percentage
Proportion formula: (Part / Whole) = Percentage / 100
Theorems
-
Suitable Grade Level
Middle School
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