Math Problem Statement

1. Ten percent of the students in a math class are absent. If there are 4 students who are absent, how many students are enrolled in the math class? 2. At Alcona Resort, 8% of the visitors are foreigners. If there are 225 visitors at the resort, how many visitors are foreigners?

Solution

Let's go through each word problem presented in the image and solve it step-by-step.

Problem 1:

Question: 10% of the students in a math class are absent. If there are 4 students who are absent, how many students are enrolled in the math class?

Step-by-Step Solution:

  1. Identify what is asked: The total number of students enrolled in the class.
  2. Given Facts:
    • 10% of the students are absent.
    • There are 4 students who are absent.
  3. Operation to Use: Division, as we need to find the total based on a percentage.
  4. Number Sentence: 4÷0.10=N4 \div 0.10 = N
  5. Calculation: 4÷0.10=404 \div 0.10 = 40
  6. Answer: There are 40 students enrolled in the math class.

Problem 2:

Question: At Alcona Resort, 8% of the visitors are foreigners. If there are 225 visitors at the resort, how many are foreigners?

Step-by-Step Solution:

  1. Identify what is asked: The number of foreign visitors.
  2. Given Facts:
    • 8% of the visitors are foreigners.
    • There are 225 visitors in total.
  3. Operation to Use: Multiplication, as we need to find a part of a total based on a percentage.
  4. Number Sentence: 225×0.08=N225 \times 0.08 = N
  5. Calculation: 225×0.08=18225 \times 0.08 = 18
  6. Answer: There are 18 foreign visitors at the resort.

Would you like further details or explanations on any of the steps?

Related Questions:

  1. If 15% of the students are absent in a class of 60, how many are absent?
  2. In a school, 12% of the 500 students are in the sports team. How many students are in the sports team?
  3. At a conference, 5% of the 400 participants are speakers. How many are speakers?
  4. If 20% of a class of 50 are girls, how many girls are there?
  5. A store has 300 products, and 25% of them are electronics. How many electronics are in the store?

Tip:

When calculating percentages, always convert the percentage to a decimal by dividing by 100 before performing multiplication or division.

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Math Problem Analysis

Mathematical Concepts

Percentage
Division
Multiplication

Formulas

Percentage formula: part = total × (percentage / 100)
Division for finding total when part and percentage are known: total = part ÷ (percentage / 100)

Theorems

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Suitable Grade Level

Grade 5-6