Select The Correct Answer.Kathy Distributes Jelly Beans Among Her Friends. Alia Gets $4^2$ Fewer Jelly Beans Than Kelly, Who Gets $3^3$ Jelly Beans. How Many Jelly Beans Does Alia Get?A. $ 4 2 − 3 3 4^2-3^3 4 2 − 3 3 [/tex] B.

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Introduction

In this problem, we are presented with a scenario where Kathy distributes jelly beans among her friends. We are given information about the number of jelly beans Alia and Kelly receive, and we need to determine the number of jelly beans Alia gets. To solve this problem, we need to understand the mathematical concepts involved, specifically exponentiation and subtraction.

Calculating the Number of Jelly Beans Kelly Receives

First, let's calculate the number of jelly beans Kelly receives. We are given that Kelly gets $3^3$ jelly beans. To calculate this, we need to raise 3 to the power of 3.

33=3×3×3=273^3 = 3 \times 3 \times 3 = 27

So, Kelly receives 27 jelly beans.

Calculating the Number of Jelly Beans Alia Receives

Next, let's calculate the number of jelly beans Alia receives. We are given that Alia gets $4^2$ fewer jelly beans than Kelly. To calculate this, we need to raise 4 to the power of 2 and then subtract the result from the number of jelly beans Kelly receives.

42=4×4=164^2 = 4 \times 4 = 16

Since Alia gets $4^2$ fewer jelly beans than Kelly, we need to subtract 16 from the number of jelly beans Kelly receives.

27−16=1127 - 16 = 11

So, Alia receives 11 jelly beans.

Conclusion

In conclusion, to solve this problem, we need to understand the mathematical concepts involved, specifically exponentiation and subtraction. We calculated the number of jelly beans Kelly receives by raising 3 to the power of 3, and then we calculated the number of jelly beans Alia receives by raising 4 to the power of 2 and subtracting the result from the number of jelly beans Kelly receives. The correct answer is 11.

Answer

The correct answer is B. 11.

Mathematical Concepts

This problem involves the following mathematical concepts:

  • Exponentiation: We used exponentiation to calculate the number of jelly beans Kelly and Alia receive.
  • Subtraction: We used subtraction to calculate the number of jelly beans Alia receives by subtracting the result from the number of jelly beans Kelly receives.

Real-World Applications

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

  • Business: In business, we often need to calculate the number of items a customer receives based on a certain condition.
  • Science: In science, we often need to calculate the number of particles or objects that meet certain conditions.
  • Engineering: In engineering, we often need to calculate the number of components or materials required to complete a project.

Tips and Tricks

Here are some tips and tricks to help you solve this problem:

  • Make sure to read the problem carefully and understand what is being asked.
  • Use mathematical concepts such as exponentiation and subtraction to solve the problem.
  • Check your calculations to ensure that you are getting the correct answer.

Practice Problems

Here are some practice problems to help you practice solving problems like this:

  • If Sally gets $5^2$ fewer pencils than Tom, and Tom gets 25 pencils, how many pencils does Sally get?
  • If John gets $2^3$ more books than Emily, and Emily gets 8 books, how many books does John get?

Conclusion

Frequently Asked Questions

Q: What is the problem asking for?

A: The problem is asking for the number of jelly beans Alia receives.

Q: How do we calculate the number of jelly beans Kelly receives?

A: We calculate the number of jelly beans Kelly receives by raising 3 to the power of 3.

Q: What is the result of raising 3 to the power of 3?

A: The result of raising 3 to the power of 3 is 27.

Q: How do we calculate the number of jelly beans Alia receives?

A: We calculate the number of jelly beans Alia receives by raising 4 to the power of 2 and subtracting the result from the number of jelly beans Kelly receives.

Q: What is the result of raising 4 to the power of 2?

A: The result of raising 4 to the power of 2 is 16.

Q: How many jelly beans does Alia receive?

A: Alia receives 11 jelly beans.

Q: What mathematical concepts are involved in this problem?

A: The mathematical concepts involved in this problem are exponentiation and subtraction.

Q: What are some real-world applications of this problem?

A: Some real-world applications of this problem include business, science, and engineering.

Q: What are some tips and tricks for solving this problem?

A: Some tips and tricks for solving this problem include reading the problem carefully, using mathematical concepts such as exponentiation and subtraction, and checking your calculations.

Q: What are some practice problems that can help me practice solving problems like this?

A: Some practice problems that can help you practice solving problems like this include:

  • If Sally gets $5^2$ fewer pencils than Tom, and Tom gets 25 pencils, how many pencils does Sally get?
  • If John gets $2^3$ more books than Emily, and Emily gets 8 books, how many books does John get?

Q: What is the correct answer to the problem?

A: The correct answer to the problem is 11.

Q: Why is it important to understand mathematical concepts such as exponentiation and subtraction?

A: It is important to understand mathematical concepts such as exponentiation and subtraction because they are used in a wide range of real-world applications, including business, science, and engineering.

Q: How can I practice solving problems like this?

A: You can practice solving problems like this by working through practice problems, such as the ones listed above, and by seeking help from a teacher or tutor if you need it.

Q: What are some common mistakes to avoid when solving problems like this?

A: Some common mistakes to avoid when solving problems like this include:

  • Not reading the problem carefully
  • Not using mathematical concepts such as exponentiation and subtraction
  • Not checking your calculations

Q: How can I improve my understanding of mathematical concepts such as exponentiation and subtraction?

A: You can improve your understanding of mathematical concepts such as exponentiation and subtraction by:

  • Practicing solving problems that involve these concepts
  • Seeking help from a teacher or tutor if you need it
  • Reviewing the concepts in a textbook or online resource.