Matt Charges $\$ 9$ Per Hour To Babysit. He Babysat Friday Night For 5 Hours, And Then He Babysat Again On Saturday. He Earned A Total Of $\$ 99$. For How Many Hours Did Matt Babysit On Saturday?Choose Two Answers: One
Introduction
In this article, we will delve into a real-life scenario involving math, specifically algebra. Matt, a young babysitter, charges $9 per hour to take care of children. He worked two nights, Friday and Saturday, and earned a total of $99. We need to determine how many hours Matt babysat on Saturday. This problem is a great example of how math can be applied to everyday situations.
The Problem
Matt charges $9 per hour to babysit. He worked for 5 hours on Friday night and earned a total of $99. We need to find out how many hours he worked on Saturday.
Let's Break It Down
To solve this problem, we can use algebra. Let's denote the number of hours Matt worked on Saturday as x. We know that he worked for 5 hours on Friday, so the total number of hours he worked is 5 + x.
We also know that Matt earns $9 per hour. Therefore, the total amount he earned is 9(5 + x).
The problem states that Matt earned a total of $99. We can set up an equation to represent this:
9(5 + x) = 99
Solving the Equation
To solve for x, we need to isolate the variable. We can start by distributing the 9 to the terms inside the parentheses:
45 + 9x = 99
Next, we can subtract 45 from both sides of the equation to get:
9x = 54
Now, we can divide both sides of the equation by 9 to solve for x:
x = 54/9
x = 6
Conclusion
Therefore, Matt babysat for 6 hours on Saturday. This problem is a great example of how math can be applied to real-life situations. By using algebra, we can solve for the unknown variable and find the answer.
Discussion
This problem is a great example of how math can be used to solve everyday problems. By using algebra, we can set up equations and solve for unknown variables. This problem is also a great example of how math can be used to model real-world situations.
Real-World Applications
This problem has many real-world applications. For example, if you are a business owner, you can use math to determine how much you will earn from a particular project. If you are a manager, you can use math to determine how much time your employees will need to complete a task.
Tips and Tricks
When solving this problem, make sure to follow the order of operations. This means that you should perform any calculations inside the parentheses first, followed by any multiplication or division.
Also, make sure to check your work by plugging the solution back into the original equation. This will help you ensure that your solution is correct.
Conclusion
In conclusion, this problem is a great example of how math can be applied to real-life situations. By using algebra, we can solve for unknown variables and find the answer. This problem has many real-world applications and can be used to model everyday situations.
Additional Resources
If you are interested in learning more about algebra and how it can be applied to real-life situations, there are many resources available online. Some popular resources include:
- Khan Academy: Algebra
- Mathway: Algebra Solver
- Wolfram Alpha: Algebra Calculator
Final Answer
Introduction
In our previous article, we solved a math problem involving Matt, a young babysitter, who charges $9 per hour to take care of children. We determined that Matt babysat for 6 hours on Saturday. In this article, we will answer some frequently asked questions related to this problem.
Q&A
Q: What is the formula to calculate the total amount Matt earned?
A: The formula to calculate the total amount Matt earned is:
Total Amount = Hourly Rate x Total Hours
In this case, the hourly rate is $9 and the total hours is 5 + x, where x is the number of hours Matt worked on Saturday.
Q: How do I solve for x in the equation 9(5 + x) = 99?
A: To solve for x, you can follow these steps:
- Distribute the 9 to the terms inside the parentheses: 45 + 9x = 99
- Subtract 45 from both sides of the equation: 9x = 54
- Divide both sides of the equation by 9: x = 54/9
- Simplify the equation: x = 6
Q: What if I get a different answer for x?
A: If you get a different answer for x, it's possible that you made a mistake in your calculations. Double-check your work and make sure you followed the order of operations.
Q: Can I use this problem to model real-world situations?
A: Yes, this problem can be used to model real-world situations. For example, if you are a business owner, you can use math to determine how much you will earn from a particular project. If you are a manager, you can use math to determine how much time your employees will need to complete a task.
Q: How do I check my work?
A: To check your work, plug the solution back into the original equation. In this case, we can plug x = 6 back into the equation 9(5 + x) = 99 to see if it's true.
9(5 + 6) = 9(11) = 99
Since this is true, we can be confident that our solution is correct.
Q: What are some real-world applications of this problem?
A: Some real-world applications of this problem include:
- Determining how much a business will earn from a particular project
- Determining how much time employees will need to complete a task
- Modeling real-world situations, such as calculating the cost of a product or the time it will take to complete a project
Conclusion
In conclusion, this problem is a great example of how math can be applied to real-life situations. By using algebra, we can solve for unknown variables and find the answer. This problem has many real-world applications and can be used to model everyday situations.
Additional Resources
If you are interested in learning more about algebra and how it can be applied to real-life situations, there are many resources available online. Some popular resources include:
- Khan Academy: Algebra
- Mathway: Algebra Solver
- Wolfram Alpha: Algebra Calculator
Final Answer
The final answer is 6.