Math Problem Statement

9 of the 26 students in a class wear glasses. What percentage of the students in the class wear glasses? Give your answer to 1 d.p.

Solution

To find the percentage of students in the class who wear glasses, use the following formula:

Percentage=(Number of students wearing glassesTotal number of students)×100\text{Percentage} = \left( \frac{\text{Number of students wearing glasses}}{\text{Total number of students}} \right) \times 100

Substitute the values:

Percentage=(926)×10034.6154\text{Percentage} = \left( \frac{9}{26} \right) \times 100 \approx 34.6154

Rounding to 1 decimal place:

Percentage34.6%\text{Percentage} \approx 34.6\%

So, approximately 34.6% of the students in the class wear glasses.

Would you like more details or have any questions about this process?
Here are five related questions you might find interesting:

  1. If 3 more students start wearing glasses, what would the new percentage be?
  2. What percentage of the class does not wear glasses?
  3. If there were 30 students and 12 wore glasses, what would the percentage be?
  4. How would the percentage change if there were 20 students, with the same 9 wearing glasses?
  5. Can you express 9 out of 26 as a simplified fraction?

Tip: When calculating percentages, always ensure that you round your answers appropriately to match the required decimal places.

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Math Problem Analysis

Mathematical Concepts

Percentages
Ratios
Proportions

Formulas

Percentage = (Part / Whole) × 100

Theorems

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Suitable Grade Level

Grades 5-7