Four Friends Go Out For Lunch. Each Person Orders 1 Drink For $\$1.50$ And 3 Tacos. The Total Cost For All 4 People Is $\$24$. What Is The Price Of One Taco?Let $x$ Represent The Price Of One Taco. Which Equation Represents

Introduction

In this article, we will delve into a real-world problem involving four friends who go out for lunch. Each person orders a drink and three tacos, resulting in a total cost of $\$24$ for all four people. Our goal is to determine the price of one taco, represented by the variable $x$. We will use algebraic equations to solve this problem and explore the mathematical concepts involved.

The Problem

Four friends go out for lunch and each person orders:

• 1 drink for $\$1.50$
• 3 tacos

The total cost for all 4 people is $\$24$. We need to find the price of one taco, represented by the variable $x$.

Equation Representation

Let's represent the total cost of the drinks as $1.50 \times 4 = 6$ dollars. The total cost of the tacos is $3x$, where $x$ is the price of one taco. Since the total cost for all 4 people is $\$24$, we can set up the following equation:

$$6 + 3x = 24$$

This equation represents the total cost of the drinks and tacos for all 4 people.

Solving the Equation

To solve for $x$, we need to isolate the variable on one side of the equation. We can start by subtracting 6 from both sides of the equation:

$$3x = 24 - 6$$

$$3x = 18$$

Next, we can divide both sides of the equation by 3 to solve for $x$:

$$x = \frac{18}{3}$$

$$x = 6$$

Conclusion

The price of one taco is $\$6$. This solution represents the value of the variable $x$, which is the price of one taco. We used algebraic equations to solve this problem and explored the mathematical concepts involved.

Mathematical Concepts

This problem involves several mathematical concepts, including:

• Algebraic equations: We used algebraic equations to represent the total cost of the drinks and tacos for all 4 people.
• Variables: We represented the price of one taco using the variable $x$.
• Solving equations: We solved the equation $6 + 3x = 24$ to find the value of $x$.
• Subtraction and division: We used subtraction and division to isolate the variable $x$ on one side of the equation.

Real-World Applications

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

• Finance: Understanding the cost of items and solving equations to determine prices is essential in finance.
• Business: Businesses use mathematical equations to determine prices, calculate profits, and make informed decisions.
• Science: Scientists use mathematical equations to model real-world phenomena and make predictions.

Final Thoughts

Introduction

In our previous article, we explored the problem of four friends who go out for lunch and each person orders a drink and three tacos, resulting in a total cost of $\$24$ for all four people. We used algebraic equations to determine the price of one taco, represented by the variable $x$. In this article, we will answer some frequently asked questions related to this problem.

Q&A

Q: What is the total cost of the drinks for all 4 people?

A: The total cost of the drinks for all 4 people is $1.50 \times 4 = 6$ dollars.

Q: How do we represent the total cost of the tacos in the equation?

A: We represent the total cost of the tacos as $3x$, where $x$ is the price of one taco.

Q: What is the equation that represents the total cost of the drinks and tacos for all 4 people?

A: The equation that represents the total cost of the drinks and tacos for all 4 people is:

$$6 + 3x = 24$$

Q: How do we solve for $x$ in the equation?

A: To solve for $x$, we need to isolate the variable on one side of the equation. We can start by subtracting 6 from both sides of the equation:

$$3x = 24 - 6$$

$$3x = 18$$

Next, we can divide both sides of the equation by 3 to solve for $x$:

$$x = \frac{18}{3}$$

$$x = 6$$

Q: What is the price of one taco?

A: The price of one taco is $\$6$.

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

A: This problem has real-world applications in various fields, including finance, business, and science. Understanding the cost of items and solving equations to determine prices is essential in these fields.

Q: What mathematical concepts are involved in this problem?

A: This problem involves several mathematical concepts, including algebraic equations, variables, solving equations, subtraction, and division.

Q: Can this problem be solved using other methods?

A: Yes, this problem can be solved using other methods, such as using a graphing calculator or a spreadsheet program. However, the algebraic method used in this article is a common and efficient way to solve this type of problem.

Conclusion

In conclusion, this Q&A article provides answers to some frequently asked questions related to the problem of four friends who go out for lunch and each person orders a drink and three tacos, resulting in a total cost of $\$24$ for all four people. We used algebraic equations to determine the price of one taco, represented by the variable $x$. This problem demonstrates the importance of mathematical literacy in everyday life.

Mathematical Concepts

This problem involves several mathematical concepts, including:

• Algebraic equations: We used algebraic equations to represent the total cost of the drinks and tacos for all 4 people.
• Variables: We represented the price of one taco using the variable $x$.
• Solving equations: We solved the equation $6 + 3x = 24$ to find the value of $x$.
• Subtraction and division: We used subtraction and division to isolate the variable $x$ on one side of the equation.

Real-World Applications

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

• Finance: Understanding the cost of items and solving equations to determine prices is essential in finance.
• Business: Businesses use mathematical equations to determine prices, calculate profits, and make informed decisions.
• Science: Scientists use mathematical equations to model real-world phenomena and make predictions.

Final Thoughts

In conclusion, this Q&A article provides answers to some frequently asked questions related to the problem of four friends who go out for lunch and each person orders a drink and three tacos, resulting in a total cost of $\$24$ for all four people. We used algebraic equations to determine the price of one taco, represented by the variable $x$. This problem demonstrates the importance of mathematical literacy in everyday life.