Huang Buys 3 Shirts That Each Cost The Same Amount, A Pair Of Pants That Cost $\$12$, And He Pays With A $\$100$ Bill. Which Expression Represents The Amount Of Change Huang Should Receive? Select Three Options.A. $100 - (12 +

Introduction

In this scenario, Huang makes a purchase consisting of three shirts, each costing the same amount, a pair of pants for $\$12$, and pays with a $\$100$ bill. The task at hand is to determine the expression that represents the amount of change Huang should receive. To solve this problem, we need to calculate the total cost of the items purchased and then subtract this amount from the $\$100$ bill.

Calculating the Total Cost

Let's denote the cost of each shirt as $x$. Since Huang buys three shirts, the total cost of the shirts is $3x$. The cost of the pair of pants is given as $\$12$. Therefore, the total cost of the items purchased is $3x + 12$.

Calculating the Change

To find the amount of change Huang should receive, we need to subtract the total cost of the items purchased from the $\$100$ bill. This can be represented by the expression $100 - (3x + 12)$.

Simplifying the Expression

We can simplify the expression $100 - (3x + 12)$ by first distributing the negative sign to the terms inside the parentheses. This gives us $100 - 3x - 12$. We can then combine the constant terms by adding $100$ and $-12$, which results in $88 - 3x$.

Conclusion

In conclusion, the expression that represents the amount of change Huang should receive is $88 - 3x$. This expression takes into account the cost of the three shirts, the pair of pants, and the $\$100$ bill.

Options

Based on the calculation above, the correct expression for the amount of change Huang should receive is:

• $100 - (12 + 3x)$
• $88 - 3x$
• $100 - 3x - 12$

The correct answer is B. $88 - 3x$.

Explanation of Options

Option A, $100 - (12 + 3x)$, is incorrect because it incorrectly adds the cost of the pants to the cost of the shirts. Option C, $100 - 3x - 12$, is also incorrect because it incorrectly subtracts the cost of the pants from the $\$100$ bill. Only option B, $88 - 3x$, correctly represents the amount of change Huang should receive.

Final Answer

Introduction

In our previous article, we explored the scenario of Huang making a purchase consisting of three shirts, each costing the same amount, a pair of pants for $\$12$, and paying with a $\$100$ bill. We calculated the expression that represents the amount of change Huang should receive, which is $88 - 3x$. In this article, we will address some frequently asked questions related to this scenario.

Q: What is the cost of each shirt?

A: The cost of each shirt is denoted as $x$. Since we are trying to find the expression that represents the amount of change Huang should receive, we don't need to know the specific cost of each shirt. However, if we were to find the cost of each shirt, we would need more information.

Q: Why can't we just subtract the cost of the pants from the $\$100$ bill?

A: While it might seem intuitive to simply subtract the cost of the pants from the $\$100$ bill, this approach would be incorrect. The cost of the pants is only one part of the total cost of the items purchased. We need to consider the cost of the three shirts as well.

Q: Can we simplify the expression $100 - (3x + 12)$ further?

A: Yes, we can simplify the expression $100 - (3x + 12)$ by distributing the negative sign to the terms inside the parentheses. This gives us $100 - 3x - 12$. We can then combine the constant terms by adding $100$ and $-12$, which results in $88 - 3x$.

Q: What if Huang pays with a $\$50$ bill instead of a $\$100$ bill?

A: If Huang pays with a $\$50$ bill instead of a $\$100$ bill, we would need to recalculate the expression. The new expression would be $50 - (3x + 12)$.

Q: Can we use a different method to calculate the change?

A: Yes, we can use a different method to calculate the change. For example, we could first calculate the total cost of the items purchased, which is $3x + 12$. We could then subtract this amount from the $\$100$ bill, which gives us $100 - (3x + 12)$.

Q: What is the final answer?

A: The final answer is $\boxed{88 - 3x}$.

Conclusion

In conclusion, calculating the change in a shopping scenario can be a complex task, but by breaking it down into smaller steps and using the correct mathematical operations, we can arrive at the correct answer. We hope this Q&A article has helped to clarify any questions you may have had about the scenario.

Additional Resources

If you have any further questions or would like to learn more about calculating change, we recommend checking out the following resources:

• Mathematics textbook
• Online math tutorial
• Mathematics forum

Final Answer

The final answer is $\boxed{88 - 3x}$.