Kwame Thought Of A Number, Tripled It, Subtracted 15 From The Result, And Then Divided The Answer By 5. The Quotient Was 50. What Is The Number?
Introduction
In this article, we will delve into the world of mathematics and solve a problem that involves a series of operations on a number. Kwame thought of a number, tripled it, subtracted 15 from the result, and then divided the answer by 5. The quotient was 50. Our goal is to find the original number that Kwame thought of.
Understanding the Problem
Let's break down the problem step by step. Kwame starts with a number, which we will call x. He then triples this number, which gives us 3x. Next, he subtracts 15 from the result, giving us 3x - 15. Finally, he divides the answer by 5, resulting in (3x - 15) / 5 = 50.
Setting Up the Equation
We can set up an equation based on the information given. The quotient of (3x - 15) / 5 is equal to 50. We can write this as:
(3x - 15) / 5 = 50
Solving the Equation
To solve for x, we can start by multiplying both sides of the equation by 5, which gives us:
3x - 15 = 250
Next, we can add 15 to both sides of the equation, which gives us:
3x = 265
Finally, we can divide both sides of the equation by 3, which gives us:
x = 265 / 3
x = 88.33
Conclusion
The original number that Kwame thought of is 88.33. This is the solution to the problem.
Why is this Problem Important?
This problem is important because it involves a series of operations on a number, which is a fundamental concept in mathematics. It also requires the use of algebraic techniques, such as setting up and solving equations, to find the solution.
Real-World Applications
This problem has real-world applications in many areas, such as finance, science, and engineering. For example, in finance, a company may need to calculate the total cost of a project, which involves a series of operations on a number. In science, a researcher may need to calculate the concentration of a solution, which involves a series of operations on a number.
Tips and Tricks
Here are some tips and tricks for solving problems like this:
- Always read the problem carefully and understand what is being asked.
- Break down the problem into smaller steps and solve each step separately.
- Use algebraic techniques, such as setting up and solving equations, to find the solution.
- Check your work by plugging the solution back into the original equation.
Common Mistakes
Here are some common mistakes to avoid when solving problems like this:
- Not reading the problem carefully and understanding what is being asked.
- Not breaking down the problem into smaller steps and solving each step separately.
- Not using algebraic techniques, such as setting up and solving equations, to find the solution.
- Not checking your work by plugging the solution back into the original equation.
Conclusion
Introduction
In our previous article, we solved the mystery of Kwame's number by following a series of operations on a number. We set up an equation, solved for x, and found the original number that Kwame thought of. In this article, we will answer some frequently asked questions about the problem and provide additional insights.
Q: What is the original number that Kwame thought of?
A: The original number that Kwame thought of is 88.33.
Q: How did you solve the equation (3x - 15) / 5 = 50?
A: To solve the equation, we first multiplied both sides by 5, which gave us 3x - 15 = 250. Then, we added 15 to both sides, which gave us 3x = 265. Finally, we divided both sides by 3, which gave us x = 265 / 3.
Q: Why did you multiply both sides of the equation by 5?
A: We multiplied both sides of the equation by 5 to eliminate the fraction. This allowed us to work with a simpler equation and solve for x.
Q: Why did you add 15 to both sides of the equation?
A: We added 15 to both sides of the equation to isolate the term 3x. This allowed us to solve for x.
Q: Why did you divide both sides of the equation by 3?
A: We divided both sides of the equation by 3 to solve for x. This gave us the value of x, which is 88.33.
Q: What are some real-world applications of this problem?
A: This problem has real-world applications in many areas, such as finance, science, and engineering. For example, in finance, a company may need to calculate the total cost of a project, which involves a series of operations on a number. In science, a researcher may need to calculate the concentration of a solution, which involves a series of operations on a number.
Q: What are some tips and tricks for solving problems like this?
A: Here are some tips and tricks for solving problems like this:
- Always read the problem carefully and understand what is being asked.
- Break down the problem into smaller steps and solve each step separately.
- Use algebraic techniques, such as setting up and solving equations, to find the solution.
- Check your work by plugging the solution back into the original equation.
Q: What are some common mistakes to avoid when solving problems like this?
A: Here are some common mistakes to avoid when solving problems like this:
- Not reading the problem carefully and understanding what is being asked.
- Not breaking down the problem into smaller steps and solving each step separately.
- Not using algebraic techniques, such as setting up and solving equations, to find the solution.
- Not checking your work by plugging the solution back into the original equation.
Conclusion
In conclusion, solving the mystery of Kwame's number involves a series of operations on a number, which is a fundamental concept in mathematics. By following the tips and tricks outlined in this article, you can solve problems like this and become a master of mathematics.
Additional Resources
If you want to learn more about solving equations and algebraic techniques, here are some additional resources:
- Khan Academy: Algebra
- Mathway: Algebra Solver
- Wolfram Alpha: Algebra Calculator
Final Thoughts
Solving the mystery of Kwame's number is just the beginning. With practice and patience, you can master algebra and solve complex problems. Remember to always read the problem carefully, break down the problem into smaller steps, and use algebraic techniques to find the solution. Good luck!