Kendra Bought A Gallon Of Milk And 5 6 \frac{5}{6} 6 5 ​ Of A Pound Of Oranges. If The Gallon Of Milk Cost $ 3.60 \$3.60 $3.60 And She Spent A Total Of $ 4.35 \$4.35 $4.35 , Which Equation Can Be Used To Determine X X X , The Cost Of A Pound Of

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Introduction

In this article, we will explore the concept of solving equations to determine the cost of a pound of oranges. Kendra, a shopper, bought a gallon of milk and 56\frac{5}{6} of a pound of oranges. The total cost of the items was $4.35\$4.35, and the cost of the gallon of milk was $3.60\$3.60. We will use this information to create an equation that can be used to determine the cost of a pound of oranges.

The Cost of a Pound of Oranges

Let's assume that the cost of a pound of oranges is xx. Since Kendra bought 56\frac{5}{6} of a pound of oranges, the cost of the oranges she bought is 56x\frac{5}{6}x.

The Total Cost of the Items

The total cost of the items Kendra bought is the sum of the cost of the gallon of milk and the cost of the oranges. We can write this as an equation:

3.60+56x=4.353.60 + \frac{5}{6}x = 4.35

Solving the Equation

To solve for xx, we need to isolate the variable xx on one side of the equation. We can do this by subtracting 3.603.60 from both sides of the equation:

56x=4.35−3.60\frac{5}{6}x = 4.35 - 3.60

56x=0.75\frac{5}{6}x = 0.75

Next, we can multiply both sides of the equation by 65\frac{6}{5} to solve for xx:

x=0.75×65x = 0.75 \times \frac{6}{5}

x=0.90x = 0.90

Conclusion

In this article, we used the information provided to create an equation that can be used to determine the cost of a pound of oranges. We solved the equation to find that the cost of a pound of oranges is $0.90\$0.90.

The Importance of Solving Equations

Solving equations is an essential skill in mathematics and is used in a wide range of applications, including science, engineering, and economics. By solving equations, we can determine the value of unknown variables and make informed decisions.

Real-World Applications

Solving equations has many real-world applications, including:

  • Finance: Solving equations is used to determine the value of investments, calculate interest rates, and make informed financial decisions.
  • Science: Solving equations is used to model the behavior of physical systems, predict the outcome of experiments, and make informed decisions.
  • Engineering: Solving equations is used to design and optimize systems, predict the behavior of complex systems, and make informed decisions.

Tips for Solving Equations

Here are some tips for solving equations:

  • Read the problem carefully: Make sure you understand what the problem is asking for.
  • Identify the variables: Identify the variables in the equation and what they represent.
  • Use algebraic manipulations: Use algebraic manipulations, such as addition, subtraction, multiplication, and division, to isolate the variable.
  • Check your answer: Check your answer to make sure it is reasonable and makes sense in the context of the problem.

Conclusion

Q&A: Solving Equations for the Cost of Oranges

Q: What is the equation that can be used to determine the cost of a pound of oranges?

A: The equation that can be used to determine the cost of a pound of oranges is:

3.60+56x=4.353.60 + \frac{5}{6}x = 4.35

Q: How do I solve the equation to find the cost of a pound of oranges?

A: To solve the equation, you need to isolate the variable xx on one side of the equation. You can do this by subtracting 3.603.60 from both sides of the equation:

56x=4.35−3.60\frac{5}{6}x = 4.35 - 3.60

56x=0.75\frac{5}{6}x = 0.75

Next, you can multiply both sides of the equation by 65\frac{6}{5} to solve for xx:

x=0.75×65x = 0.75 \times \frac{6}{5}

x=0.90x = 0.90

Q: What is the cost of a pound of oranges?

A: The cost of a pound of oranges is $0.90\$0.90.

Q: Why is solving equations important?

A: Solving equations is an essential skill in mathematics and is used in a wide range of applications, including science, engineering, and economics. By solving equations, you can determine the value of unknown variables and make informed decisions.

Q: What are some real-world applications of solving equations?

A: Some real-world applications of solving equations include:

  • Finance: Solving equations is used to determine the value of investments, calculate interest rates, and make informed financial decisions.
  • Science: Solving equations is used to model the behavior of physical systems, predict the outcome of experiments, and make informed decisions.
  • Engineering: Solving equations is used to design and optimize systems, predict the behavior of complex systems, and make informed decisions.

Q: What are some tips for solving equations?

A: Here are some tips for solving equations:

  • Read the problem carefully: Make sure you understand what the problem is asking for.
  • Identify the variables: Identify the variables in the equation and what they represent.
  • Use algebraic manipulations: Use algebraic manipulations, such as addition, subtraction, multiplication, and division, to isolate the variable.
  • Check your answer: Check your answer to make sure it is reasonable and makes sense in the context of the problem.

Q: How can I practice solving equations?

A: You can practice solving equations by working through examples and exercises in a textbook or online resource. You can also try solving equations on your own using real-world scenarios or problems.

Conclusion

In this article, we provided a guide to solving equations for the cost of oranges. We answered common questions about solving equations and provided tips for solving equations. By following these tips and practicing solving equations, you can become proficient in solving equations and make informed decisions in a variety of contexts.