Select The Best Answer For The Question.Will Bought 3 College Textbooks. One Cost $ 32 \$32 $32 , One Cost $ 45 \$45 $45 , And The Average Cost Of The Textbooks Is $ 39 \$39 $39 . What Is The Total Cost Of The Textbooks?A. $32 \div 3 +

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Introduction

In the world of mathematics, problems often arise in the most unexpected ways. A simple question about college textbooks can lead to a complex mathematical puzzle. In this article, we will delve into the world of algebra and solve the mystery of the college textbooks. We will explore the given information, identify the unknown, and use mathematical techniques to find the solution.

The Problem

Will bought 3 college textbooks. One cost $32\$32, one cost $45\$45, and the average cost of the textbooks is $39\$39. What is the total cost of the textbooks?

Understanding the Problem

At first glance, the problem seems straightforward. However, upon closer inspection, we realize that there is more to it than meets the eye. The average cost of the textbooks is given as $39\$39, and we are asked to find the total cost of the textbooks. To solve this problem, we need to use algebraic techniques to find the unknown total cost.

Identifying the Unknown

The unknown in this problem is the total cost of the textbooks. Let's denote the total cost as xx. We know that the average cost of the textbooks is $39\$39, and there are 3 textbooks. Therefore, we can set up the equation:

x3=39\frac{x}{3} = 39

Solving the Equation

To solve the equation, we can multiply both sides by 3 to get:

x=39Ă—3x = 39 \times 3

x=117x = 117

The Solution

The total cost of the textbooks is $117\$117.

Alternative Solution

Another way to solve this problem is to use the formula for the average:

Average=Sum of valuesNumber of values\text{Average} = \frac{\text{Sum of values}}{\text{Number of values}}

In this case, the average cost is $39\$39, and there are 3 textbooks. Therefore, we can set up the equation:

39=x339 = \frac{x}{3}

To solve for xx, we can multiply both sides by 3:

117=x117 = x

Conclusion

In this article, we solved the mystery of the college textbooks using algebraic techniques. We identified the unknown, set up an equation, and solved for the total cost of the textbooks. The total cost of the textbooks is $117\$117. This problem may seem simple at first, but it requires careful analysis and mathematical techniques to solve.

Additional Tips and Tricks

  • When solving problems involving averages, make sure to use the formula for the average.
  • When setting up equations, make sure to identify the unknown and use algebraic techniques to solve for it.
  • Practice, practice, practice! The more you practice solving problems, the more confident you will become in your mathematical abilities.

Final Answer

Introduction

In our previous article, we solved the mystery of the college textbooks using algebraic techniques. We identified the unknown, set up an equation, and solved for the total cost of the textbooks. The total cost of the textbooks is $117\$117. In this article, we will provide a Q&A section to help you better understand the problem and its solution.

Q&A

Q: What is the average cost of the textbooks?

A: The average cost of the textbooks is $39\$39.

Q: How many textbooks did Will buy?

A: Will bought 3 college textbooks.

Q: What is the total cost of the textbooks?

A: The total cost of the textbooks is $117\$117.

Q: How did you solve for the total cost of the textbooks?

A: We used the formula for the average and set up an equation to solve for the total cost of the textbooks.

Q: What is the formula for the average?

A: The formula for the average is:

Average=Sum of valuesNumber of values\text{Average} = \frac{\text{Sum of values}}{\text{Number of values}}

Q: How do I use the formula for the average to solve for the total cost of the textbooks?

A: To use the formula for the average to solve for the total cost of the textbooks, you need to know the average cost and the number of textbooks. Then, you can set up an equation and solve for the total cost of the textbooks.

Q: What if I don't know the total cost of the textbooks?

A: If you don't know the total cost of the textbooks, you can use the formula for the average to set up an equation and solve for the total cost of the textbooks.

Q: Can I use other methods to solve for the total cost of the textbooks?

A: Yes, you can use other methods to solve for the total cost of the textbooks. For example, you can use algebraic techniques to set up an equation and solve for the total cost of the textbooks.

Additional Tips and Tricks

  • When solving problems involving averages, make sure to use the formula for the average.
  • When setting up equations, make sure to identify the unknown and use algebraic techniques to solve for it.
  • Practice, practice, practice! The more you practice solving problems, the more confident you will become in your mathematical abilities.

Conclusion

In this article, we provided a Q&A section to help you better understand the problem and its solution. We answered common questions about the problem and provided additional tips and tricks to help you solve similar problems. Remember to practice, practice, practice! The more you practice solving problems, the more confident you will become in your mathematical abilities.

Final Answer

The final answer is 117\boxed{117}.