Answer The Word Problem.You Work Two Jobs. At The First Job, You Earn $10 Per Hour. At The Second Job, You Earn $12 Per Hour. You Earned $480 Last Week. If You Worked 42 Hours At The First Job, How Many Hours Did You Work At The Second

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Introduction

Word problems are a crucial part of mathematics, and solving them requires a combination of critical thinking, problem-solving skills, and mathematical knowledge. In this article, we will focus on solving a word problem that involves two jobs with different hourly wages. We will break down the problem into smaller steps, and use mathematical concepts to find the solution.

The Problem

You work two jobs. At the first job, you earn $10 per hour. At the second job, you earn $12 per hour. You earned $480 last week. If you worked 42 hours at the first job, how many hours did you work at the second job?

Step 1: Understand the Problem

The problem states that you have two jobs with different hourly wages. You earned a total of $480 last week, and you worked 42 hours at the first job. We need to find out how many hours you worked at the second job.

Step 2: Identify the Variables

Let's identify the variables in the problem:

  • Hourly wage at the first job: $10
  • Hourly wage at the second job: $12
  • Total earnings last week: $480
  • Hours worked at the first job: 42

Step 3: Set Up the Equation

We can set up an equation to represent the situation:

10x + 12y = 480

where x is the number of hours worked at the first job, and y is the number of hours worked at the second job.

Step 4: Substitute the Known Value

We know that you worked 42 hours at the first job, so we can substitute this value into the equation:

10(42) + 12y = 480

Step 5: Solve for y

Now we can solve for y:

420 + 12y = 480

Subtract 420 from both sides:

12y = 60

Divide both sides by 12:

y = 5

Conclusion

Therefore, you worked 5 hours at the second job.

Why Word Problems Matter

Word problems are an essential part of mathematics, and solving them requires a combination of critical thinking, problem-solving skills, and mathematical knowledge. By breaking down complex problems into smaller steps, we can use mathematical concepts to find the solution. In this article, we solved a word problem that involved two jobs with different hourly wages, and we used mathematical concepts to find the solution.

Real-World Applications

Word problems have many real-world applications, including:

  • Finance: Understanding how to calculate interest rates, investments, and loans.
  • Science: Understanding how to calculate distances, velocities, and accelerations.
  • Engineering: Understanding how to calculate stresses, strains, and loads on structures.

Tips for Solving Word Problems

Here are some tips for solving word problems:

  • Read the problem carefully and identify the variables.
  • Set up an equation to represent the situation.
  • Substitute the known values into the equation.
  • Solve for the unknown variable.
  • Check your solution to make sure it makes sense.

Conclusion

Introduction

In our previous article, we solved a word problem that involved two jobs with different hourly wages. We broke down the problem into smaller steps, and used mathematical concepts to find the solution. In this article, we will answer some common questions that people have when it comes to solving word problems.

Q: What is a word problem?

A word problem is a mathematical problem that is presented in a real-world context. It is a problem that requires the use of mathematical concepts to solve, but it is presented in a way that is relevant to everyday life.

A: Why are word problems important?

Word problems are important because they help us to develop our critical thinking and problem-solving skills. They also help us to apply mathematical concepts to real-world situations, which is an essential part of mathematics.

Q: How do I know if I'm solving a word problem correctly?

To know if you're solving a word problem correctly, you need to make sure that you're following the steps outlined in our previous article. This includes:

  • Reading the problem carefully and identifying the variables.
  • Setting up an equation to represent the situation.
  • Substituting the known values into the equation.
  • Solving for the unknown variable.
  • Checking your solution to make sure it makes sense.

Q: What if I get stuck on a word problem?

If you get stuck on a word problem, don't worry! There are several things you can do to get unstuck:

  • Read the problem again and make sure you understand what it's asking.
  • Break down the problem into smaller steps.
  • Use visual aids such as diagrams or charts to help you understand the problem.
  • Ask for help from a teacher or tutor.

Q: Can word problems be fun?

Yes, word problems can be fun! They provide an opportunity to apply mathematical concepts to real-world situations, which can be engaging and challenging. Additionally, word problems can be used to create games and puzzles, which can make learning mathematics more enjoyable.

Q: How can I use word problems in my everyday life?

Word problems can be used in many areas of everyday life, including:

  • Finance: Understanding how to calculate interest rates, investments, and loans.
  • Science: Understanding how to calculate distances, velocities, and accelerations.
  • Engineering: Understanding how to calculate stresses, strains, and loads on structures.
  • Cooking: Understanding how to calculate ingredients and measurements.
  • Travel: Understanding how to calculate distances, times, and costs.

Q: What are some common types of word problems?

There are many types of word problems, including:

  • Algebraic word problems: These involve solving equations and inequalities.
  • Geometric word problems: These involve solving problems involving shapes and geometry.
  • Measurement word problems: These involve solving problems involving units of measurement.
  • Data analysis word problems: These involve solving problems involving data and statistics.

Conclusion

In conclusion, word problems are an essential part of mathematics, and solving them requires a combination of critical thinking, problem-solving skills, and mathematical knowledge. By breaking down complex problems into smaller steps, we can use mathematical concepts to find the solution. In this article, we answered some common questions that people have when it comes to solving word problems, and we provided some tips and resources for solving word problems.

Additional Resources

If you're looking for more resources on solving word problems, here are some additional resources you might find helpful:

  • Online tutorials and videos
  • Math textbooks and workbooks
  • Online math communities and forums
  • Math apps and games

Final Tips

Here are some final tips for solving word problems:

  • Practice, practice, practice!
  • Use visual aids such as diagrams and charts to help you understand the problem.
  • Ask for help from a teacher or tutor if you get stuck.
  • Use online resources and tutorials to supplement your learning.
  • Make learning mathematics fun and engaging by using games and puzzles.