Henry Divided His Socks Into Five Equal Groups. Let { S $}$ Represent The Total Number Of Socks. Which Expression And Solution Represent The Number Of Socks In Each Group If { S = 20 $}$?A. { \frac{s}{5}$} ; W H E N \[ ; When \[ ; W H E N \[

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Introduction

In this article, we will delve into the world of mathematics and explore the concept of dividing a set of objects into equal groups. We will use the example of Henry, who divided his socks into five equal groups. Our goal is to find the expression and solution that represent the number of socks in each group, given that the total number of socks is 20.

Understanding the Problem

Let's start by understanding the problem. Henry has a total of 20 socks, and he wants to divide them into five equal groups. We can represent the total number of socks as { s $}$. Our task is to find the expression that represents the number of socks in each group.

The Expression: [$\frac{s}{5}$]

To find the number of socks in each group, we need to divide the total number of socks by the number of groups. In this case, we have 20 socks and 5 groups. We can represent this as a division problem: [$\frac{20}{5}$]. This can be simplified to [$4$, which represents the number of socks in each group.

Why [$\frac{s}{5}$] is the Correct Expression

The expression [s5$]isthecorrectexpressionbecauseitrepresentsthenumberofsocksineachgroup.Whenwedividethetotalnumberofsocksbythenumberofgroups,wegetthenumberofsocksineachgroup.Inthiscase,\[\frac{s}{5}\$] is the correct expression because it represents the number of socks in each group. When we divide the total number of socks by the number of groups, we get the number of socks in each group. In this case, \[\frac{20}{5}$] equals 4, which means that each group has 4 socks.

Solution: [4$4\$

The solution to this problem is [4$.Thisrepresentsthenumberofsocksineachgroup.Whenwesubstitute\[4\$. This represents the number of socks in each group. When we substitute \[s = 20$, we get [$\frac{20}{5}$], which equals 4.

Why [4$4\$ is the Correct Solution

The solution [4$4\$ is the correct solution because it represents the number of socks in each group. When we divide the total number of socks by the number of groups, we get the number of socks in each group. In this case, [$\frac{20}{5}$] equals 4, which means that each group has 4 socks.

Conclusion

In conclusion, the expression and solution that represent the number of socks in each group are [$\frac{s}{5}$] and [4$,respectively.Whenwesubstitute\[4\$, respectively. When we substitute \[s = 20$, we get [$\frac{20}{5}$], which equals 4. This represents the number of socks in each group.

Real-World Applications

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

  • Mathematics: This problem is a classic example of division and can be used to teach students about the concept of dividing a set of objects into equal groups.
  • Business: In business, dividing a set of objects into equal groups can be used to allocate resources, such as inventory or personnel.
  • Science: In science, dividing a set of objects into equal groups can be used to conduct experiments and collect data.

Final Thoughts

In conclusion, the expression and solution that represent the number of socks in each group are [$\frac{s}{5}$] and [$4$, respectively. This problem is a classic example of division and can be used to teach students about the concept of dividing a set of objects into equal groups. The real-world applications of this problem are numerous and can be used in various fields, such as mathematics, business, and science.

Additional Examples

  • Example 1: If Henry has 30 socks and wants to divide them into 6 equal groups, what is the expression and solution that represent the number of socks in each group?
  • Example 2: If Henry has 15 socks and wants to divide them into 3 equal groups, what is the expression and solution that represent the number of socks in each group?

Solutions to Additional Examples

  • Example 1: The expression and solution that represent the number of socks in each group are [$\frac{s}{6}$] and [$5$, respectively.
  • Example 2: The expression and solution that represent the number of socks in each group are [$\frac{s}{3}$] and [$5$, respectively.

Conclusion

Frequently Asked Questions

Q: What is the expression that represents the number of socks in each group?

A: The expression that represents the number of socks in each group is [s5$],where\[\frac{s}{5}\$], where \[s$] is the total number of socks.

Q: What is the solution to the problem when [s=20$s = 20\$?

A: The solution to the problem when [s=20$s = 20\$ is [$4$, which represents the number of socks in each group.

Q: Why is [$\frac{s}{5}$] the correct expression?

A: [$\frac{s}{5}$] is the correct expression because it represents the number of socks in each group. When we divide the total number of socks by the number of groups, we get the number of socks in each group.

Q: What are some real-world applications of dividing socks into equal groups?

A: Some real-world applications of dividing socks into equal groups include:

  • Mathematics: This problem is a classic example of division and can be used to teach students about the concept of dividing a set of objects into equal groups.
  • Business: In business, dividing a set of objects into equal groups can be used to allocate resources, such as inventory or personnel.
  • Science: In science, dividing a set of objects into equal groups can be used to conduct experiments and collect data.

Q: How can I use this problem in my own life?

A: You can use this problem in your own life by applying the concept of dividing a set of objects into equal groups to real-world situations. For example, if you have a group of friends and want to divide a set of items equally among them, you can use this problem to find the number of items each person should receive.

Q: What if I have a different number of socks and groups?

A: If you have a different number of socks and groups, you can use the same expression [sn$]tofindthenumberofsocksineachgroup,where\[\frac{s}{n}\$] to find the number of socks in each group, where \[n$] is the number of groups.

Q: Can I use this problem to solve other types of division problems?

A: Yes, you can use this problem to solve other types of division problems. For example, if you have a set of objects and want to divide them into a different number of groups, you can use the same expression [$\frac{s}{n}$] to find the number of objects in each group.

Q: How can I practice dividing socks into equal groups?

A: You can practice dividing socks into equal groups by using real-world examples or creating your own problems. For example, you can use a set of objects, such as pencils or books, and divide them into equal groups to practice the concept.

Q: What if I get stuck on a problem?

A: If you get stuck on a problem, you can try breaking it down into smaller steps or using a different approach. You can also ask for help from a teacher or tutor if you need additional support.

Q: Can I use this problem to learn about other mathematical concepts?

A: Yes, you can use this problem to learn about other mathematical concepts, such as fractions, decimals, and percentages. By applying the concept of dividing a set of objects into equal groups to different types of problems, you can develop a deeper understanding of these concepts and improve your problem-solving skills.

Conclusion

In conclusion, the expression and solution that represent the number of socks in each group are [$\frac{s}{5}$] and [$4$, respectively. This problem is a classic example of division and can be used to teach students about the concept of dividing a set of objects into equal groups. The real-world applications of this problem are numerous and can be used in various fields, such as mathematics, business, and science. By practicing dividing socks into equal groups, you can develop a deeper understanding of mathematical concepts and improve your problem-solving skills.