Math Problem Statement
Suppose 60% of the graduating class in the 9 certain high school goes to college. If 240 students from this graduating class are going to college, how many students are in the class?
Solution
Let's denote the total number of students in the graduating class as .
We know that 60% of the graduating class goes to college, and that 240 students from this class are going to college. Therefore, we can set up the equation:
To find , divide both sides of the equation by 0.60:
So, the total number of students in the graduating class is 400.
Would you like further details or have any questions? Here are some related questions you might find interesting:
- What percentage of the graduating class does not go to college?
- If 50 more students decide to go to college, what would be the new percentage of students going to college?
- If the total number of students increases by 10% next year, how many students would that be?
- How many students would be going to college if only 50% of the class decided to attend?
- If a scholarship is awarded to 10% of the students going to college, how many students receive the scholarship?
Tip: When working with percentages, converting them into decimal form (e.g., 60% to 0.60) makes calculations easier.
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Math Problem Analysis
Mathematical Concepts
Percentage
Proportions
Basic Algebra
Formulas
Percentage formula: part = percentage × whole
Proportion: part/whole = percentage
Theorems
-
Suitable Grade Level
Grades 6-8
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