Vance Ate A Salad And 4 5 \frac{4}{5} 5 4 ​ Of A Turkey Burger For Dinner. The Salad Contained 80 Calories And His Entire Meal Contained 440 Calories. Which Equation Can Be Used To Determine X X X , The Number Of Calories In The Entire Turkey

Introduction

In this problem, we are given that Vance ate a salad and $\frac{4}{5}$ of a turkey burger for dinner. The salad contained 80 calories and his entire meal contained 440 calories. We need to determine the number of calories in the entire turkey burger. To do this, we will use algebraic equations to solve for the unknown variable.

Understanding the Problem

Let's break down the problem and understand what we are given:

• Vance ate a salad with 80 calories.
• He also ate $\frac{4}{5}$ of a turkey burger.
• The total number of calories in his meal is 440.

We need to find the number of calories in the entire turkey burger, which we will call $x$.

Setting Up the Equation

To solve for $x$, we need to set up an equation that represents the situation. Let's start by identifying the information we have:

• The salad has 80 calories.
• The turkey burger has $x$ calories.
• Vance ate $\frac{4}{5}$ of the turkey burger, so the number of calories from the turkey burger is $\frac{4}{5}x$.
• The total number of calories in the meal is 440.

We can set up an equation using the following formula:

80 + $\frac{4}{5}x$ = 440

This equation represents the situation: the salad has 80 calories, and the turkey burger has $\frac{4}{5}x$ calories. The total number of calories in the meal is 440.

Solving the Equation

To solve for $x$, we need to isolate the variable $x$ on one side of the equation. We can do this by subtracting 80 from both sides of the equation:

$\frac{4}{5}x$ = 440 - 80

$\frac{4}{5}x$ = 360

Next, we can multiply both sides of the equation by $\frac{5}{4}$ to get rid of the fraction:

$x$ = 360 $\times$ $\frac{5}{4}$

$x$ = 450

Therefore, the number of calories in the entire turkey burger is 450.

Conclusion

In this problem, we used algebraic equations to solve for the number of calories in a turkey burger. We set up an equation that represented the situation, and then solved for the unknown variable $x$. The final answer is 450 calories.

Understanding the Solution

Let's take a step back and understand the solution. We set up an equation that represented the situation, and then solved for the unknown variable $x$. The equation was:

80 + $\frac{4}{5}x$ = 440

We solved for $x$ by subtracting 80 from both sides of the equation, and then multiplying both sides of the equation by $\frac{5}{4}$. This gave us the final answer of 450 calories.

Real-World Applications

This problem may seem simple, but it has real-world applications. For example, if you are a nutritionist, you may need to calculate the number of calories in a meal to determine the nutritional value. This problem shows how algebraic equations can be used to solve real-world problems.

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.
• Set up an equation that represents the situation.
• Solve for the unknown variable by isolating it on one side of the equation.
• Use algebraic properties, such as addition and multiplication, to simplify the equation.

Common Mistakes

Here are some common mistakes to avoid when solving this problem:

• Not reading the problem carefully and understanding what is being asked.
• Not setting up an equation that represents the situation.
• Not solving for the unknown variable by isolating it on one side of the equation.
• Not using algebraic properties, such as addition and multiplication, to simplify the equation.

Conclusion

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Introduction

In our previous article, we solved for the number of calories in a turkey burger using algebraic equations. In this article, we will answer some common questions that people may have when solving this problem.

Q: What is the main concept behind solving for the number of calories in a turkey burger?

A: The main concept behind solving for the number of calories in a turkey burger is to set up an equation that represents the situation. In this case, we know that the salad has 80 calories, and the turkey burger has an unknown number of calories. We can set up an equation using the following formula:

80 + $\frac{4}{5}x$ = 440

This equation represents the situation: the salad has 80 calories, and the turkey burger has $\frac{4}{5}x$ calories. The total number of calories in the meal is 440.

Q: How do I set up the equation?

A: To set up the equation, you need to identify the information you have. In this case, we know that the salad has 80 calories, and the turkey burger has an unknown number of calories. We also know that Vance ate $\frac{4}{5}$ of the turkey burger. We can set up an equation using the following formula:

80 + $\frac{4}{5}x$ = 440

This equation represents the situation: the salad has 80 calories, and the turkey burger has $\frac{4}{5}x$ calories. The total number of calories in the meal is 440.

Q: How do I solve for the unknown variable?

A: To solve for the unknown variable, you need to isolate it on one side of the equation. In this case, we can subtract 80 from both sides of the equation to get:

$\frac{4}{5}x$ = 360

Next, we can multiply both sides of the equation by $\frac{5}{4}$ to get rid of the fraction:

$x$ = 450

Therefore, the number of calories in the entire turkey burger is 450.

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

A: Some common mistakes to avoid when solving this problem include:

• Not reading the problem carefully and understanding what is being asked.
• Not setting up an equation that represents the situation.
• Not solving for the unknown variable by isolating it on one side of the equation.
• Not using algebraic properties, such as addition and multiplication, to simplify the equation.

Q: How can I apply this concept to real-world problems?

A: This concept can be applied to real-world problems in many ways. For example, if you are a nutritionist, you may need to calculate the number of calories in a meal to determine the nutritional value. This problem shows how algebraic equations can be used to solve real-world problems.

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

A: Some tips and tricks for solving this problem include:

• Make sure to read the problem carefully and understand what is being asked.
• Set up an equation that represents the situation.
• Solve for the unknown variable by isolating it on one side of the equation.
• Use algebraic properties, such as addition and multiplication, to simplify the equation.

Conclusion

In conclusion, this article answers some common questions that people may have when solving for the number of calories in a turkey burger. We set up an equation that represented the situation, and then solved for the unknown variable $x$. The final answer is 450 calories.