Math Problem Statement

60% of students In a class are boys if there were 20 girls in class what is the total count of students

Solution

Let the total number of students in the class be xx.

Step 1: Express the proportion of boys and girls.

  • If 60% of the students are boys, then 40% are girls.

Thus: Number of girls=0.4x\text{Number of girls} = 0.4x

Step 2: Use the given information.

We know that the number of girls is 20: 0.4x=200.4x = 20

Step 3: Solve for xx.

x=200.4=50x = \frac{20}{0.4} = 50

Final Answer:

The total number of students in the class is 50.

Would you like more explanation or help with related questions?

Related Questions:

  1. If 60% of the students are boys, how many boys are there in the class?
  2. What is the ratio of boys to girls in the class?
  3. If 10 more girls joined the class, what percentage of the class would be boys?
  4. If another 30 boys joined the class, what would the new total number of students be?
  5. How many more girls would be needed to make the number of boys and girls equal?

Tip: Always use percentages as fractions or decimals to simplify calculations.

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Math Problem Analysis

Mathematical Concepts

Percentages
Proportions
Basic Algebra

Formulas

Percentage formula: (Part/Total) * 100 = Percentage
Proportion formula: Total = Part / Proportion

Theorems

Basic Percentage Theorem

Suitable Grade Level

Grades 5-7