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 NN.

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:

0.60×N=2400.60 \times N = 240

To find NN, divide both sides of the equation by 0.60:

N=2400.60N = \frac{240}{0.60}

N=400N = 400

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:

  1. What percentage of the graduating class does not go to college?
  2. If 50 more students decide to go to college, what would be the new percentage of students going to college?
  3. If the total number of students increases by 10% next year, how many students would that be?
  4. How many students would be going to college if only 50% of the class decided to attend?
  5. 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

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Suitable Grade Level

Grades 6-8