Gamal Spent $\$12.50$ At The Bookstore. The Difference Between The Amount He Spent At The Video Game Store And The Amount He Spent At The Bookstore Was $\$17$. The Equation $d - 12.50 = 17$ Can Be Used To Represent This

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Solving the Equation: A Step-by-Step Guide to Understanding Gamal's Shopping Spree

Gamal spent a total of $12.50\$12.50 at the bookstore, but the amount he spent at the video game store was $17\$17 more than what he spent at the bookstore. This creates an interesting mathematical problem that can be solved using algebraic equations. In this article, we will explore the equation d−12.50=17d - 12.50 = 17 and provide a step-by-step guide on how to solve it.

Understanding the Equation

The equation d−12.50=17d - 12.50 = 17 represents the difference between the amount Gamal spent at the video game store and the amount he spent at the bookstore. The variable dd represents the amount spent at the video game store, and the constant 12.5012.50 represents the amount spent at the bookstore. The equation states that the difference between dd and 12.5012.50 is equal to 1717.

Solving the Equation

To solve the equation, we need to isolate the variable dd. We can do this by adding 12.5012.50 to both sides of the equation. This will cancel out the −12.50-12.50 on the left side of the equation, leaving us with the value of dd.

d - 12.50 = 17
d - 12.50 + 12.50 = 17 + 12.50
d = 29.50

Interpreting the Solution

The solution to the equation is d=29.50d = 29.50. This means that Gamal spent $29.50\$29.50 at the video game store. We can verify this by subtracting the amount spent at the bookstore (12.5012.50) from the amount spent at the video game store (29.5029.50). The result is indeed $17\$17, which is the difference between the two amounts.

Conclusion

In this article, we solved the equation d−12.50=17d - 12.50 = 17 to find the amount spent at the video game store. By adding 12.5012.50 to both sides of the equation, we isolated the variable dd and found that d=29.50d = 29.50. This solution makes sense, as it represents the difference between the amount spent at the video game store and the amount spent at the bookstore.

Real-World Applications

This type of equation is commonly used in real-world applications, such as budgeting and financial planning. For example, a person may want to know how much they spent on a particular item compared to the amount they spent on another item. By using an equation like d−12.50=17d - 12.50 = 17, they can easily solve for the unknown value.

Tips and Tricks

When solving equations like d−12.50=17d - 12.50 = 17, it's essential to remember to isolate the variable on one side of the equation. This can be done by adding or subtracting the same value from both sides of the equation. Additionally, make sure to check your solution by plugging it back into the original equation.

Common Mistakes

One common mistake when solving equations like d−12.50=17d - 12.50 = 17 is to forget to isolate the variable. This can lead to incorrect solutions and confusion. To avoid this, make sure to add or subtract the same value from both sides of the equation.

Conclusion

In conclusion, solving the equation d−12.50=17d - 12.50 = 17 is a straightforward process that involves isolating the variable dd. By adding 12.5012.50 to both sides of the equation, we found that d=29.50d = 29.50. This solution makes sense, as it represents the difference between the amount spent at the video game store and the amount spent at the bookstore.
Frequently Asked Questions: Solving the Equation d−12.50=17d - 12.50 = 17

In the previous article, we solved the equation d−12.50=17d - 12.50 = 17 to find the amount spent at the video game store. However, we know that there are many more questions and concerns that readers may have. In this article, we will address some of the most frequently asked questions about solving the equation d−12.50=17d - 12.50 = 17.

Q: What is the equation d−12.50=17d - 12.50 = 17 trying to solve?

A: The equation d−12.50=17d - 12.50 = 17 is trying to solve for the amount spent at the video game store. The variable dd represents the amount spent at the video game store, and the constant 12.5012.50 represents the amount spent at the bookstore.

Q: How do I solve the equation d−12.50=17d - 12.50 = 17?

A: To solve the equation d−12.50=17d - 12.50 = 17, you need to isolate the variable dd. You can do this by adding 12.5012.50 to both sides of the equation. This will cancel out the −12.50-12.50 on the left side of the equation, leaving you with the value of dd.

Q: What is the solution to the equation d−12.50=17d - 12.50 = 17?

A: The solution to the equation d−12.50=17d - 12.50 = 17 is d=29.50d = 29.50. This means that Gamal spent $29.50\$29.50 at the video game store.

Q: How do I verify the solution to the equation d−12.50=17d - 12.50 = 17?

A: To verify the solution, you can subtract the amount spent at the bookstore (12.5012.50) from the amount spent at the video game store (29.5029.50). The result should be $17\$17, which is the difference between the two amounts.

Q: What are some common mistakes to avoid when solving the equation d−12.50=17d - 12.50 = 17?

A: Some common mistakes to avoid when solving the equation d−12.50=17d - 12.50 = 17 include:

  • Forgetting to isolate the variable dd
  • Adding or subtracting the wrong value from both sides of the equation
  • Not checking the solution by plugging it back into the original equation

Q: How can I apply the equation d−12.50=17d - 12.50 = 17 to real-world situations?

A: The equation d−12.50=17d - 12.50 = 17 can be applied to real-world situations such as budgeting and financial planning. For example, a person may want to know how much they spent on a particular item compared to the amount they spent on another item.

Q: What are some tips and tricks for solving equations like d−12.50=17d - 12.50 = 17?

A: Some tips and tricks for solving equations like d−12.50=17d - 12.50 = 17 include:

  • Isolating the variable on one side of the equation
  • Adding or subtracting the same value from both sides of the equation
  • Checking the solution by plugging it back into the original equation

Conclusion

In this article, we addressed some of the most frequently asked questions about solving the equation d−12.50=17d - 12.50 = 17. We provided step-by-step instructions on how to solve the equation, as well as tips and tricks for avoiding common mistakes. We also discussed how to apply the equation to real-world situations and how to verify the solution.