Alaina Has $ 28 \$28 $28 In Her Account. She Wants To Purchase A Pair Of Shoes That Cost $ 45 \$45 $45 . If Alaina Makes The Purchase, Which Integer Will Represent The Amount Of Money In Alaina's Account?A. − 73 -73 − 73 B. − 27 -27 − 27 C.

Introduction

In this article, we will delve into the world of mathematics, specifically focusing on basic arithmetic operations. We will explore a real-life scenario involving Alaina, who has $\$28$ in her account and wants to purchase a pair of shoes that cost $\$45$. Our objective is to determine the amount of money that will be left in Alaina's account after making the purchase.

Understanding the Problem

Alaina has $\$28$ in her account, and she wants to buy a pair of shoes that cost $\$45$. To find out the amount of money left in her account after the purchase, we need to subtract the cost of the shoes from the initial amount in her account.

Mathematical Representation

Let's represent the initial amount in Alaina's account as $A$, and the cost of the shoes as $C$. We can write the equation as:

$$A - C = \text{Amount left in account}$$

In this case, $A = \$28$ and $C = \$45$. Plugging these values into the equation, we get:

$$28 - 45 = \text{Amount left in account}$$

Solving the Equation

To find the amount left in Alaina's account, we need to perform the subtraction operation. However, since the cost of the shoes ($\$45$) is greater than the initial amount in her account ($\$28$), we will get a negative result.

$$28 - 45 = -17$$

Conclusion

Therefore, if Alaina makes the purchase, the amount of money left in her account will be $\boxed{-17}$. This means that Alaina will be in debt by $\$17$ after buying the shoes.

Discussion

This problem is a great example of how basic arithmetic operations can be applied to real-life scenarios. It highlights the importance of understanding mathematical concepts, such as subtraction, and how they can be used to solve everyday problems.

Real-World Applications

This problem has real-world applications in finance, accounting, and personal budgeting. It demonstrates how individuals can use mathematical concepts to manage their finances and make informed decisions about their spending.

Common Mistakes

When solving this problem, some individuals may make the following mistakes:

• Not considering the negative result of the subtraction operation
• Not understanding the concept of debt and how it affects the account balance
• Not applying the correct mathematical operation (subtraction) to find the amount left in the account

Tips and Tricks

To avoid these mistakes, it's essential to:

• Understand the concept of subtraction and how it applies to real-life scenarios
• Recognize the importance of considering negative results in mathematical operations
• Apply the correct mathematical operation (subtraction) to find the amount left in the account

Conclusion

Introduction

In our previous article, we explored a real-life scenario involving Alaina, who has $\$28$ in her account and wants to purchase a pair of shoes that cost $\$45$. We determined that the amount of money left in her account after making the purchase would be $\boxed{-17}$. In this article, we will address some common questions and concerns related to this problem.

Q&A

Q: Why did we get a negative result when subtracting the cost of the shoes from the initial amount in Alaina's account?

A: We got a negative result because the cost of the shoes ($\$45$) is greater than the initial amount in Alaina's account ($\$28$). When we subtract a larger number from a smaller number, the result is always negative.

Q: What does a negative result mean in this context?

A: A negative result means that Alaina will be in debt by the amount of the negative result. In this case, Alaina will be in debt by $\$17$.

Q: Can we still use the same mathematical operation (subtraction) to find the amount left in the account if the cost of the shoes is greater than the initial amount?

A: Yes, we can still use the same mathematical operation (subtraction) to find the amount left in the account. However, we need to be aware that the result will be negative.

Q: How can we avoid getting a negative result when subtracting the cost of the shoes from the initial amount in Alaina's account?

A: We can avoid getting a negative result by ensuring that the initial amount in Alaina's account is greater than or equal to the cost of the shoes. In this case, Alaina would need to have at least $\$45$ in her account to avoid going into debt.

Q: What if Alaina wants to buy a pair of shoes that cost $\$28$ and she has $\$45$ in her account?

A: If Alaina wants to buy a pair of shoes that cost $\$28$ and she has $\$45$ in her account, she will have $\$17$ left in her account after making the purchase.

Q: Can we use the same mathematical operation (subtraction) to find the amount left in the account if Alaina wants to buy a pair of shoes that cost $\$28$ and she has $\$45$ in her account?

A: Yes, we can still use the same mathematical operation (subtraction) to find the amount left in the account. The equation would be:

$$45 - 28 = \text{Amount left in account}$$

The result would be:

$$45 - 28 = 17$$

Q: What if Alaina wants to buy a pair of shoes that cost $\$45$ and she has $\$28$ in her account, but she also has a credit card that she can use to cover the remaining amount?

A: If Alaina wants to buy a pair of shoes that cost $\$45$ and she has $\$28$ in her account, but she also has a credit card that she can use to cover the remaining amount, she will still need to pay the credit card company back for the amount she borrowed. In this case, Alaina will be in debt by $\$17$.

Q: Can we use the same mathematical operation (subtraction) to find the amount left in the account if Alaina wants to buy a pair of shoes that cost $\$45$ and she has $\$28$ in her account, but she also has a credit card that she can use to cover the remaining amount?

A: Yes, we can still use the same mathematical operation (subtraction) to find the amount left in the account. However, we need to be aware that Alaina will still be in debt by the amount of the negative result.

Conclusion

In conclusion, this Q&A article addresses some common questions and concerns related to the problem of Alaina's account balance. We hope that this article has provided a better understanding of the mathematical concepts involved and has helped to clarify any confusion.