Math Problem Statement

answer and explanation, Solve this math problem show the complete solution. Include what topic this question is.

In a class, 60% of the students are girls. If the total number of students is 30, what is the number of boys?

Solution

This problem falls under the Percentages topic, which is often used in everyday applications to compare parts to a whole.

Problem:

"In a class, 60% of the students are girls. If the total number of students is 30, what is the number of boys?"

Solution:

  1. Understand the Question:

    • Total students = 3030
    • Percentage of girls = 60%60\%
    • We need to find the number of boys.
  2. Find the Number of Girls: The number of girls is 60%60\% of 3030. To calculate: Number of girls=60100×30=18\text{Number of girls} = \frac{60}{100} \times 30 = 18

  3. Find the Number of Boys: Since the total number of students is 3030, and there are 1818 girls: Number of boys=3018=12\text{Number of boys} = 30 - 18 = 12

Final Answer:

The number of boys is C. 12.


Would you like further clarification on this or practice on similar problems?

Relative Questions:

  1. How do you calculate percentages of a given number?
  2. What is the formula for finding a percentage decrease or increase?
  3. Can you solve similar problems with different percentages and totals?
  4. What are common real-life applications of percentages?
  5. How do percentages relate to fractions and decimals?

Tip:

When solving percentage problems, always convert the percentage into a fraction or decimal before applying it to the total number.

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Math Problem Analysis

Mathematical Concepts

Percentages
Basic Arithmetic

Formulas

Percentage = (Part/Whole) × 100
Number of Boys = Total Students - Number of Girls

Theorems

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Suitable Grade Level

Grades 5-7