Janelle Is In Charge Of Bringing In Dry Erase Markers For Everyone In Her Math Group To Use For A Project. She Brings 3 Markers For Each Person In Her Group And 5 Extra Markers For Everyone To Share. If Janelle Brings In 23 Markers In All, Which

Mar 9, 2025 by ADMIN 246 views

**Mathematical Problem Solving: A Real-World Example**

Introduction

In this article, we will explore a real-world mathematical problem that involves basic arithmetic operations. Janelle, a member of a math group, is responsible for bringing in dry erase markers for her team to use on a project. She needs to determine the total number of markers required for her group, including extra markers for sharing. This problem requires us to apply mathematical concepts to solve a practical problem.

The Problem

Janelle needs to bring in dry erase markers for each person in her math group. If there are a total of 8 people in the group, and she brings 3 markers for each person, how many markers will she bring in total? Additionally, she wants to bring in 5 extra markers for everyone to share. If Janelle brings in 23 markers in all, which is the correct number of markers she should bring for each person in the group?

Step 1: Determine the Total Number of Markers for the Group

To find the total number of markers required for the group, we need to multiply the number of people in the group by the number of markers each person will receive.

Let's denote the number of people in the group as n and the number of markers each person will receive as m. In this case, n = 8 and m = 3.

# Calculate the total number of markers for the group
total_markers_group = n * m
print(total_markers_group)

Step 2: Add the Extra Markers for Sharing

Janelle wants to bring in 5 extra markers for everyone to share. We need to add these extra markers to the total number of markers required for the group.

# Add the extra markers for sharing
extra_markers = 5
total_markers = total_markers_group + extra_markers
print(total_markers)

Step 3: Determine the Correct Number of Markers for Each Person

We are given that Janelle brings in 23 markers in all. We need to determine the correct number of markers she should bring for each person in the group.

Let's denote the correct number of markers for each person as x. We can set up an equation to represent the situation:

3n + 5 = 23

We can solve for x by substituting the value of n into the equation.

# Solve for x
n = 8
x = (23 - 5) / n
print(x)

Conclusion

In this article, we have solved a real-world mathematical problem that involves basic arithmetic operations. We have determined the total number of markers required for the group, added the extra markers for sharing, and found the correct number of markers for each person in the group. This problem requires us to apply mathematical concepts to solve a practical problem.

Mathematical Concepts

This problem involves the following mathematical concepts:

Multiplication: We used multiplication to find the total number of markers required for the group.
Addition: We used addition to add the extra markers for sharing to the total number of markers required for the group.
Subtraction: We used subtraction to find the correct number of markers for each person in the group.
Division: We used division to solve for the correct number of markers for each person in the group.

Real-World Applications

This problem has real-world applications in various fields, such as:

Business: In a business setting, this problem can be used to determine the total number of resources required for a project, including extra resources for sharing.
Education: In an educational setting, this problem can be used to teach students about basic arithmetic operations and their applications in real-world scenarios.
Science: In a scientific setting, this problem can be used to determine the total number of samples required for an experiment, including extra samples for sharing.

Conclusion

Introduction

In our previous article, we explored a real-world mathematical problem that involves basic arithmetic operations. Janelle, a member of a math group, is responsible for bringing in dry erase markers for her team to use on a project. She needs to determine the total number of markers required for her group, including extra markers for sharing. This problem requires us to apply mathematical concepts to solve a practical problem.

Q&A

Q: What is the total number of markers required for the group? A: To find the total number of markers required for the group, we need to multiply the number of people in the group by the number of markers each person will receive. In this case, n = 8 and m = 3. Therefore, the total number of markers required for the group is 8 * 3 = 24.

Q: What is the total number of markers Janelle brings in? A: Janelle brings in 23 markers in all, which includes the total number of markers required for the group and the extra markers for sharing.

Q: How many extra markers does Janelle bring in? A: Janelle brings in 5 extra markers for everyone to share.

Q: What is the correct number of markers for each person in the group? A: To find the correct number of markers for each person in the group, we need to solve the equation 3n + 5 = 23. By substituting the value of n into the equation, we get 3(8) + 5 = 23. Solving for x, we get x = (23 - 5) / 8 = 2.75.

Q: Why is the correct number of markers for each person not an integer? A: The correct number of markers for each person is not an integer because the total number of markers Janelle brings in (23) is not a multiple of the number of people in the group (8). This means that Janelle will have to bring in a fraction of a marker for each person in the group.

Q: What is the significance of this problem in real-world scenarios? A: This problem has real-world applications in various fields, such as business, education, and science. In a business setting, this problem can be used to determine the total number of resources required for a project, including extra resources for sharing. In an educational setting, this problem can be used to teach students about basic arithmetic operations and their applications in real-world scenarios. In a scientific setting, this problem can be used to determine the total number of samples required for an experiment, including extra samples for sharing.

Conclusion

In conclusion, this problem requires us to apply mathematical concepts to solve a practical problem. We have determined the total number of markers required for the group, added the extra markers for sharing, and found the correct number of markers for each person in the group. This problem has real-world applications in various fields and can be used to teach students about basic arithmetic operations and their applications in real-world scenarios.

Mathematical Concepts

This problem involves the following mathematical concepts:

Multiplication: We used multiplication to find the total number of markers required for the group.
Addition: We used addition to add the extra markers for sharing to the total number of markers required for the group.
Subtraction: We used subtraction to find the correct number of markers for each person in the group.
Division: We used division to solve for the correct number of markers for each person in the group.

Real-World Applications

This problem has real-world applications in various fields, such as:

Business: In a business setting, this problem can be used to determine the total number of resources required for a project, including extra resources for sharing.
Education: In an educational setting, this problem can be used to teach students about basic arithmetic operations and their applications in real-world scenarios.
Science: In a scientific setting, this problem can be used to determine the total number of samples required for an experiment, including extra samples for sharing.