Kendra Charges \$11 To Shovel A Driveway. She Shoveled 4 Driveways On Saturday And Then Some More On Sunday. She Made \$143 For The Weekend. How Many Driveways Did She Shovel On Sunday?Choose Two Answers: One For The Equation That Models
Kendra's Shoveling Adventure: A Math Problem
In this article, we will delve into a real-world math problem involving Kendra, a hardworking individual who earns a living by shoveling driveways. We will analyze the situation, create an equation to model the problem, and solve for the unknown variable. This problem is an excellent example of how math is used in everyday life to make informed decisions and solve real-world problems.
Kendra charges $11 to shovel a driveway. She shoveled 4 driveways on Saturday and then some more on Sunday. She made $143 for the weekend. How many driveways did she shovel on Sunday?
Let's Break It Down
To solve this problem, we need to create an equation that represents the situation. Let's denote the number of driveways Kendra shoveled on Sunday as x. We know that she made $143 for the weekend, and she charged $11 per driveway. We also know that she shoveled 4 driveways on Saturday.
Equation Modeling
The total amount of money Kendra made for the weekend is the sum of the money she made from shoveling driveways on Saturday and Sunday. We can represent this as an equation:
11(4 + x) = 143
Simplifying the Equation
To solve for x, we need to simplify the equation. We can start by distributing the 11 to the terms inside the parentheses:
44 + 11x = 143
Subtracting 44 from Both Sides
Next, we can subtract 44 from both sides of the equation to isolate the term with x:
11x = 143 - 44 11x = 99
Dividing Both Sides by 11
Finally, we can divide both sides of the equation by 11 to solve for x:
x = 99 / 11 x = 9
Therefore, Kendra shoveled 9 driveways on Sunday. This problem is an excellent example of how math is used in everyday life to make informed decisions and solve real-world problems. By creating an equation to model the situation and solving for the unknown variable, we can gain a deeper understanding of the problem and arrive at a solution.
- If Kendra charges $11 to shovel a driveway, and she made $143 for the weekend, how many driveways did she shovel in total?
- If Kendra shoveled 4 driveways on Saturday, and she made $143 for the weekend, how much money did she make from shoveling driveways on Sunday?
- If Kendra charges $11 to shovel a driveway, and she shoveled x driveways on Sunday, how much money did she make from shoveling driveways on Sunday?
- 13 driveways
- $99
- $11x
Kendra's Shoveling Adventure: A Math Problem Q&A
In our previous article, we explored a real-world math problem involving Kendra, a hardworking individual who earns a living by shoveling driveways. We created an equation to model the situation and solved for the unknown variable. In this article, we will provide a Q&A section to further clarify the problem and its solution.
Q: What is the problem about? A: The problem is about Kendra, who charges $11 to shovel a driveway. She shoveled 4 driveways on Saturday and then some more on Sunday. She made $143 for the weekend. We need to find out how many driveways she shoveled on Sunday.
Q: What is the equation that models the problem? A: The equation that models the problem is:
11(4 + x) = 143
Q: How did we simplify the equation? A: We simplified the equation by distributing the 11 to the terms inside the parentheses, which gave us:
44 + 11x = 143
Q: What did we do next? A: We subtracted 44 from both sides of the equation to isolate the term with x, which gave us:
11x = 99
Q: How did we solve for x? A: We divided both sides of the equation by 11 to solve for x, which gave us:
x = 99 / 11 x = 9
Q: What does the solution mean? A: The solution means that Kendra shoveled 9 driveways on Sunday.
Q: What if Kendra charged a different amount per driveway? A: If Kendra charged a different amount per driveway, we would need to adjust the equation accordingly. For example, if she charged $15 per driveway, the equation would be:
15(4 + x) = 143
Q: What if Kendra shoveled a different number of driveways on Saturday? A: If Kendra shoveled a different number of driveways on Saturday, we would need to adjust the equation accordingly. For example, if she shoveled 5 driveways on Saturday, the equation would be:
11(5 + x) = 143
Q: Can we use this problem to model other real-world situations? A: Yes, we can use this problem to model other real-world situations. For example, if we wanted to find out how many hours a person worked if they made a certain amount of money per hour, we could use a similar equation.
In this Q&A article, we provided further clarification on the problem and its solution. We also explored some variations of the problem and how they can be used to model other real-world situations. By understanding the problem and its solution, we can gain a deeper understanding of how math is used in everyday life to make informed decisions and solve real-world problems.
- If Kendra charges $15 to shovel a driveway, and she made $143 for the weekend, how many driveways did she shovel in total?
- If Kendra shoveled 5 driveways on Saturday, and she made $143 for the weekend, how much money did she make from shoveling driveways on Sunday?
- If Kendra charges $11 to shovel a driveway, and she shoveled x driveways on Sunday, how much money did she make from shoveling driveways on Sunday?
- 10 driveways
- $88
- $11x