Brody Is Making Welcome Bags For Foreign Exchange Students Joining His School. He Divides A Box Of Pencils Evenly Among 8 Welcome Bags. Each Bag Gets 4 Pencils.Let P P P Represent The Number Of Pencils In The Box. Which Equation Models The

Introduction

As a student, Brody is making welcome bags for foreign exchange students joining his school. He wants to divide a box of pencils evenly among 8 welcome bags, with each bag getting 4 pencils. In this scenario, we need to find the equation that models the number of pencils in the box. Let's dive into the world of mathematics and explore the concept of division and equations.

Understanding the Problem

Brody has a box of pencils that he wants to divide evenly among 8 welcome bags. Each bag should get 4 pencils. To find the total number of pencils in the box, we need to multiply the number of bags by the number of pencils each bag should get.

Mathematical Representation

Let $p$ represent the number of pencils in the box. Since Brody wants to divide the pencils evenly among 8 bags, we can represent the number of pencils each bag should get as 4. To find the total number of pencils, we multiply the number of bags by the number of pencils each bag should get:

$$p = 8 \times 4$$

Simplifying the Equation

We can simplify the equation by multiplying 8 and 4:

$$p = 32$$

Conclusion

In this scenario, the equation that models the number of pencils in the box is $p = 32$. This equation represents the total number of pencils that Brody has in the box, which is 32.

Real-World Applications

This mathematical model has real-world applications in various scenarios, such as:

• Shopping: When you're shopping for groceries or other items, you need to divide the total cost by the number of items to find the cost per item.
• Cooking: When you're cooking a recipe, you need to divide the ingredients by the number of servings to find the amount of each ingredient needed.
• Science: In scientific experiments, you need to divide the total amount of a substance by the number of samples to find the amount of each sample.

Tips and Tricks

Here are some tips and tricks to help you solve similar problems:

• Use multiplication: When you need to find the total amount of something, use multiplication to find the answer.
• Use division: When you need to find the amount of something per unit, use division to find the answer.
• Check your units: Make sure you're using the correct units when solving a problem.

Practice Problems

Here are some practice problems to help you practice solving similar problems:

• Problem 1: A bookshelf has 12 shelves, and each shelf can hold 8 books. How many books can the bookshelf hold in total?
• Problem 2: A recipe calls for 2 cups of flour, and you need to make 4 batches of the recipe. How many cups of flour do you need in total?
• Problem 3: A car travels 250 miles in 5 hours. How many miles does the car travel per hour?

Answer Key

Here are the answers to the practice problems:

• Problem 1: The bookshelf can hold 96 books in total.
• Problem 2: You need 8 cups of flour in total.
• Problem 3: The car travels 50 miles per hour.

Conclusion

Introduction

In our previous article, we explored the concept of dividing a box of pencils evenly among 8 welcome bags, with each bag getting 4 pencils. We found that the equation that models the number of pencils in the box is $p = 32$. In this article, we'll answer some frequently asked questions related to this problem.

Q&A

Q: What if I have a different number of bags?

A: If you have a different number of bags, you can simply multiply the number of bags by the number of pencils each bag should get. For example, if you have 6 bags and each bag should get 5 pencils, the equation would be $p = 6 \times 5$.

Q: What if I have a different number of pencils per bag?

A: If you have a different number of pencils per bag, you can simply multiply the number of bags by the new number of pencils per bag. For example, if you have 8 bags and each bag should get 6 pencils, the equation would be $p = 8 \times 6$.

Q: How do I know if I have enough pencils?

A: To determine if you have enough pencils, you can divide the total number of pencils by the number of bags. If the result is a whole number, you have enough pencils. If the result is a fraction, you don't have enough pencils.

Q: What if I want to add more pencils to each bag?

A: If you want to add more pencils to each bag, you can simply multiply the number of bags by the new number of pencils per bag. For example, if you have 8 bags and each bag should get 6 pencils, and you want to add 2 more pencils to each bag, the equation would be $p = 8 \times 8$.

Q: Can I use this equation for other problems?

A: Yes, you can use this equation for other problems that involve dividing a certain number of items among a certain number of groups. For example, you can use this equation to find the total number of students in a class if you know the number of students per group and the number of groups.

Q: How do I solve for the number of bags?

A: To solve for the number of bags, you can divide the total number of pencils by the number of pencils per bag. For example, if you have 32 pencils and each bag should get 4 pencils, the number of bags would be $32 \div 4 = 8$.

Q: Can I use this equation for decimal numbers?

A: Yes, you can use this equation for decimal numbers. For example, if you have 10.5 pencils and each bag should get 2.5 pencils, the equation would be $p = 10.5 \div 2.5$.

Conclusion

In conclusion, we've answered some frequently asked questions related to the problem of dividing a box of pencils evenly among 8 welcome bags, with each bag getting 4 pencils. We've also discussed how to use this equation for other problems and how to solve for the number of bags.