Matthias Earned $430 Mowing Lawns Over The Summer. He Put 60% Of What He Earned Into His Savings Account. How Much Money Did Matthias Put Into His Savings Account?

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Introduction

In this article, we will delve into the world of mathematics and explore a real-life scenario involving a young individual named Matthias. Matthias earned a significant amount of money by mowing lawns over the summer, and we will calculate how much of that money he put into his savings account. This problem requires us to apply basic mathematical concepts, such as percentages and fractions, to arrive at the solution.

Understanding the Problem

Matthias earned $430 by mowing lawns over the summer. He decided to put 60% of his earnings into his savings account. The question is, how much money did Matthias put into his savings account?

Breaking Down the Problem

To solve this problem, we need to understand the concept of percentages and how to calculate them. A percentage is a way of expressing a value as a fraction of 100. In this case, Matthias put 60% of his earnings into his savings account. This means that 60% of $430 is the amount he put into his savings account.

Calculating the Amount

To calculate the amount Matthias put into his savings account, we need to multiply his earnings by the percentage he put into savings. We can use the following formula:

Amount = (Percentage / 100) x Earnings

In this case, the percentage is 60, and the earnings are $430. Plugging in these values, we get:

Amount = (60 / 100) x 430 Amount = 0.6 x 430 Amount = $258

Conclusion

Therefore, Matthias put $258 into his savings account. This problem demonstrates the importance of understanding basic mathematical concepts, such as percentages and fractions, in real-life scenarios.

Real-World Applications

This problem has real-world applications in various fields, such as finance, economics, and business. Understanding how to calculate percentages and fractions is essential in making informed decisions about investments, savings, and other financial matters.

Tips and Tricks

Here are some tips and tricks to help you solve similar problems:

  • Always read the problem carefully and understand what is being asked.
  • Break down the problem into smaller, manageable parts.
  • Use formulas and equations to calculate the solution.
  • Check your work and make sure the answer makes sense in the context of the problem.

Common Mistakes

Here are some common mistakes to avoid when solving similar problems:

  • Not reading the problem carefully and misunderstanding the question.
  • Not breaking down the problem into smaller parts and getting overwhelmed.
  • Not using formulas and equations to calculate the solution.
  • Not checking your work and making careless errors.

Conclusion

Introduction

In our previous article, we explored the scenario of Matthias earning $430 by mowing lawns over the summer and calculating how much he put into his savings account. In this article, we will provide a Q&A guide to help you understand the problem and its solution.

Q: What is the problem asking for?

A: The problem is asking for the amount of money Matthias put into his savings account, which is 60% of his total earnings.

Q: How do I calculate the amount Matthias put into his savings account?

A: To calculate the amount, you need to multiply Matthias's earnings by the percentage he put into savings. The formula is:

Amount = (Percentage / 100) x Earnings

Q: What is the percentage Matthias put into his savings account?

A: The percentage Matthias put into his savings account is 60%.

Q: What are the earnings of Matthias?

A: Matthias's earnings are $430.

Q: How do I plug in the values into the formula?

A: To plug in the values, you need to multiply 60 (the percentage) by 430 (the earnings) and then divide by 100.

Q: What is the calculation?

A: The calculation is:

Amount = (60 / 100) x 430 Amount = 0.6 x 430 Amount = $258

Q: What is the answer to the problem?

A: The answer to the problem is $258, which is the amount Matthias put into his savings account.

Q: What are some common mistakes to avoid when solving this problem?

A: Some common mistakes to avoid when solving this problem include:

  • Not reading the problem carefully and misunderstanding the question.
  • Not breaking down the problem into smaller parts and getting overwhelmed.
  • Not using formulas and equations to calculate the solution.
  • Not checking your work and making careless errors.

Q: How can I apply this problem to real-life scenarios?

A: This problem can be applied to real-life scenarios in various fields, such as finance, economics, and business. Understanding how to calculate percentages and fractions is essential in making informed decisions about investments, savings, and other financial matters.

Q: What are some tips and tricks to help me solve similar problems?

A: Some tips and tricks to help you solve similar problems include:

  • Always read the problem carefully and understand what is being asked.
  • Break down the problem into smaller, manageable parts.
  • Use formulas and equations to calculate the solution.
  • Check your work and make sure the answer makes sense in the context of the problem.

Conclusion

In conclusion, this Q&A guide provides a comprehensive understanding of the problem and its solution. By following the steps and tips outlined in this article, you can confidently solve similar problems and apply them to real-life scenarios.