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In a pie chart showing the preferences of students for different subjects, if Ma

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Question: In a pie chart showing the preferences of students for different subjects, if Mathematics is represented by a segment of 30%, which of the following could be the total number of students surveyed if 90 students prefer Mathematics?

Options:

  1. 200
  2. 300
  3. 400
  4. 500

Correct Answer: 300

Solution: 

If 30% corresponds to 90 students, then total students = 90 / 0.30 = 300.

In a pie chart showing the preferences of students for different subjects, if Ma

Practice Questions

Q1
In a pie chart showing the preferences of students for different subjects, if Mathematics is represented by a segment of 30%, which of the following could be the total number of students surveyed if 90 students prefer Mathematics?
  1. 200
  2. 300
  3. 400
  4. 500

Questions & Step-by-Step Solutions

In a pie chart showing the preferences of students for different subjects, if Mathematics is represented by a segment of 30%, which of the following could be the total number of students surveyed if 90 students prefer Mathematics?
  • Step 1: Understand that 30% of the total number of students corresponds to the number of students who prefer Mathematics.
  • Step 2: Note that 30% is the same as 0.30 in decimal form.
  • Step 3: We know that 30% of the total number of students equals 90 students.
  • Step 4: Set up the equation: 0.30 * Total Students = 90.
  • Step 5: To find the total number of students, divide 90 by 0.30: Total Students = 90 / 0.30.
  • Step 6: Calculate the division: 90 divided by 0.30 equals 300.
  • Step 7: Conclude that the total number of students surveyed is 300.
  • Percentage Calculation – Understanding how to convert a percentage representation into a total by using the formula: total = part / percentage.
  • Proportional Reasoning – Applying proportional reasoning to relate the part (students preferring Mathematics) to the whole (total students surveyed).
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