Math Problem Statement

What number of students earned a B on their paper? What number of students earned a C or better on their paper?

Solution

Let's analyze the bar graph provided:

  1. Identifying Percentage for Grade B: The graph shows that 40% of students earned a grade of B. Given that the class contains 20 students: Number of students with a B=0.4×20=8\text{Number of students with a B} = 0.4 \times 20 = 8 Answer: 8 students earned a B.

  2. Finding Students Who Earned a C or Better (Grades A, B, and C):

    • A: 20%
    • B: 40%
    • C: 15%

    Adding these percentages gives: 20%+40%+15%=75%20\% + 40\% + 15\% = 75\% Calculating 75% of 20 students: 0.75×20=150.75 \times 20 = 15 Answer: 15 students earned a C or better.

Would you like further details on the calculations or have any questions?


Here are some related questions for further practice:

  1. If the class size increased to 30 students, how many would have earned a B?
  2. What percentage of students earned a grade of D?
  3. How many students earned less than a C?
  4. If 5 students improved their grades from C to B, how would that change the percentage for each grade?
  5. What would be the number of students earning each grade if the class size doubled?

Tip: When working with percentages, always double-check that the total is consistent with the given data to avoid calculation errors.

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Math Problem Analysis

Mathematical Concepts

Percentages
Multiplication
Basic Arithmetic

Formulas

Percentage calculation: (percentage / 100) * total students
Summing percentages to find cumulative data

Theorems

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Suitable Grade Level

Grade 6-8