Math Problem Statement

According to a survey, 25% of students at a particular school take the bus to school. A total of 200 students take the bus. How many students attend this school?

Solution

To solve this problem, let's denote the total number of students in the school as xx.

We know:

  • 25% of students take the bus, which means 0.25 of the total student population takes the bus.
  • A total of 200 students take the bus.

Setting up the equation:

0.25×x=2000.25 \times x = 200

Solving for xx:

  1. Divide both sides by 0.25: x=2000.25x = \frac{200}{0.25}
  2. Calculating the result: x=800x = 800

Conclusion:

The total number of students attending the school is 800.

Would you like further details, or do you have any questions?

Here are some additional related questions:

  1. If 30% of students take the bus, how many students would that be in a school of 800?
  2. If 50 students are carpooling, what percentage of the student population does that represent?
  3. How many students do not take the bus if 25% of 800 take it?
  4. If another 100 students joined the school, what would be the new total student population?
  5. How many students take the bus if the percentage increases from 25% to 35% in a school of 800?

Tip: When solving percentage problems, translating percentages to decimals can simplify calculations.

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Math Problem Analysis

Mathematical Concepts

Algebra
Percentage

Formulas

percentage formula: part = percent × whole

Theorems

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Suitable Grade Level

Grades 6-8