Carina Spent A Total Of $ \$5.27 $ Buying A Pineapple For $ \$3.40 $ And Some Tomatoes That Were On Sale For $ \$0.85 $ Per Pound. To Determine The Number Of Pounds Of Tomatoes She Bought, Carina Wrote And Solved The Equation
Introduction
In this article, we will explore how to solve an equation to determine the number of pounds of tomatoes Carina bought. The equation is based on the total amount of money she spent on a pineapple and some tomatoes. We will use algebraic techniques to isolate the variable representing the number of pounds of tomatoes.
The Equation
Carina spent a total of $5.27 buying a pineapple for $3.40 and some tomatoes that were on sale for $0.85 per pound. To determine the number of pounds of tomatoes she bought, Carina wrote and solved the equation:
3.40 + 0.85x = 5.27
where x represents the number of pounds of tomatoes.
Step 1: Subtract 3.40 from Both Sides
To isolate the term with the variable, we need to subtract 3.40 from both sides of the equation:
0.85x = 5.27 - 3.40
0.85x = 1.87
Step 2: Divide Both Sides by 0.85
To solve for x, we need to divide both sides of the equation by 0.85:
x = 1.87 / 0.85
x = 2.2
Conclusion
Carina spent a total of $5.27 buying a pineapple for $3.40 and some tomatoes that were on sale for $0.85 per pound. By solving the equation 3.40 + 0.85x = 5.27, we found that she bought 2.2 pounds of tomatoes.
Understanding the Solution
The solution to the equation is x = 2.2, which represents the number of pounds of tomatoes Carina bought. This value is obtained by subtracting 3.40 from both sides of the equation and then dividing both sides by 0.85.
Real-World Applications
Solving equations like this one is an essential skill in many real-world applications, such as:
- Cooking: When cooking, you may need to determine the number of ingredients to use based on the total amount of money you have to spend.
- Shopping: When shopping, you may need to determine the number of items to buy based on the total amount of money you have to spend.
- Business: When running a business, you may need to determine the number of products to produce based on the total amount of money you have to spend.
Tips and Tricks
Here are some tips and tricks to help you solve equations like this one:
- Read the problem carefully: Before solving the equation, read the problem carefully to understand what is being asked.
- Use algebraic techniques: Use algebraic techniques, such as adding, subtracting, multiplying, and dividing, to isolate the variable.
- Check your solution: Once you have solved the equation, check your solution to make sure it is reasonable and makes sense in the context of the problem.
Common Mistakes
Here are some common mistakes to avoid when solving equations like this one:
- Not reading the problem carefully: Failing to read the problem carefully can lead to incorrect solutions.
- Not using algebraic techniques: Failing to use algebraic techniques can lead to incorrect solutions.
- Not checking your solution: Failing to check your solution can lead to incorrect solutions.
Conclusion
Q: What is the equation 3.40 + 0.85x = 5.27?
A: The equation 3.40 + 0.85x = 5.27 represents the total amount of money Carina spent on a pineapple and some tomatoes. The variable x represents the number of pounds of tomatoes she bought.
Q: How do I solve the equation 3.40 + 0.85x = 5.27?
A: To solve the equation 3.40 + 0.85x = 5.27, you need to follow these steps:
- Subtract 3.40 from both sides of the equation.
- Divide both sides of the equation by 0.85.
Q: What is the solution to the equation 3.40 + 0.85x = 5.27?
A: The solution to the equation 3.40 + 0.85x = 5.27 is x = 2.2, which represents the number of pounds of tomatoes Carina bought.
Q: How do I check my solution to the equation 3.40 + 0.85x = 5.27?
A: To check your solution to the equation 3.40 + 0.85x = 5.27, you need to plug the value of x back into the original equation and verify that it is true.
Q: What are some real-world applications of solving equations like 3.40 + 0.85x = 5.27?
A: Solving equations like 3.40 + 0.85x = 5.27 has many real-world applications, such as:
- Cooking: When cooking, you may need to determine the number of ingredients to use based on the total amount of money you have to spend.
- Shopping: When shopping, you may need to determine the number of items to buy based on the total amount of money you have to spend.
- Business: When running a business, you may need to determine the number of products to produce based on the total amount of money you have to spend.
Q: What are some common mistakes to avoid when solving equations like 3.40 + 0.85x = 5.27?
A: Some common mistakes to avoid when solving equations like 3.40 + 0.85x = 5.27 include:
- Not reading the problem carefully: Failing to read the problem carefully can lead to incorrect solutions.
- Not using algebraic techniques: Failing to use algebraic techniques can lead to incorrect solutions.
- Not checking your solution: Failing to check your solution can lead to incorrect solutions.
Q: How can I practice solving equations like 3.40 + 0.85x = 5.27?
A: You can practice solving equations like 3.40 + 0.85x = 5.27 by:
- Working through practice problems: Try working through practice problems to get a feel for how to solve equations like this one.
- Using online resources: There are many online resources available that can help you practice solving equations like this one.
- Seeking help from a teacher or tutor: If you are having trouble solving equations like this one, don't be afraid to seek help from a teacher or tutor.
Q: What are some tips and tricks for solving equations like 3.40 + 0.85x = 5.27?
A: Some tips and tricks for solving equations like 3.40 + 0.85x = 5.27 include:
- Read the problem carefully: Before solving the equation, read the problem carefully to understand what is being asked.
- Use algebraic techniques: Use algebraic techniques, such as adding, subtracting, multiplying, and dividing, to isolate the variable.
- Check your solution: Once you have solved the equation, check your solution to make sure it is reasonable and makes sense in the context of the problem.