The Regular Price Of A Shirt Is $n$ Dollars. During A Sale, The Shirt Is Discounted By $15\%$. Which Pair Of Expressions Includes Two Correct Ways To Represent The Price, In Dollars, Of The Shirt After The Discount?A. $n -

Understanding the Problem

In this problem, we are given the regular price of a shirt as $n$ dollars. During a sale, the shirt is discounted by $15\%$. We need to find two correct ways to represent the price, in dollars, of the shirt after the discount.

Calculating the Discount

To calculate the discount, we need to find $15\%$ of the regular price $n$. This can be calculated as:

$$\text{Discount} = 0.15n$$

Calculating the Price After Discount

The price after discount can be calculated by subtracting the discount from the regular price. This can be represented as:

$$\text{Price after discount} = n - 0.15n$$

Simplifying the Expression

We can simplify the expression by combining like terms:

$$\text{Price after discount} = 0.85n$$

Alternative Representation

Another way to represent the price after discount is to calculate the amount of discount and subtract it from the regular price. This can be represented as:

$$\text{Price after discount} = n - \frac{15}{100}n$$

Simplifying the Alternative Expression

We can simplify the alternative expression by combining like terms:

$$\text{Price after discount} = n - \frac{3}{20}n$$

$$\text{Price after discount} = \frac{17}{20}n$$

Conclusion

In conclusion, the two correct ways to represent the price, in dollars, of the shirt after the discount are:

• $n - 0.15n$
• $\frac{17}{20}n$

These expressions represent the price after discount by subtracting the discount from the regular price and by calculating the amount of discount and subtracting it from the regular price.

Discussion

This problem requires an understanding of percentages and discounts. The concept of discount is essential in real-life scenarios, such as shopping and finance. The ability to calculate discounts and prices after discounts is crucial in making informed decisions.

Example Use Case

For example, if the regular price of a shirt is $100, the discount is $15, and the price after discount is $85. We can verify that the two expressions represent the price after discount correctly:

• $100 - 0.15(100) = 100 - 15 = 85$
• $\frac{17}{20}(100) = 85$

Conclusion

In conclusion, the two correct ways to represent the price, in dollars, of the shirt after the discount are $n - 0.15n$ and $\frac{17}{20}n$. These expressions represent the price after discount by subtracting the discount from the regular price and by calculating the amount of discount and subtracting it from the regular price.

Final Answer

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Q: What is the regular price of a shirt?

A: The regular price of a shirt is $n$ dollars.

Q: What is the discount on the shirt?

A: The discount on the shirt is $15\%$.

Q: How can we calculate the discount?

A: We can calculate the discount by finding $15\%$ of the regular price $n$. This can be calculated as:

$$\text{Discount} = 0.15n$$

Q: How can we calculate the price after discount?

A: We can calculate the price after discount by subtracting the discount from the regular price. This can be represented as:

$$\text{Price after discount} = n - 0.15n$$

Q: Can we simplify the expression for the price after discount?

A: Yes, we can simplify the expression by combining like terms:

$$\text{Price after discount} = 0.85n$$

Q: Is there an alternative way to represent the price after discount?

A: Yes, we can calculate the amount of discount and subtract it from the regular price. This can be represented as:

$$\text{Price after discount} = n - \frac{15}{100}n$$

Q: Can we simplify the alternative expression for the price after discount?

A: Yes, we can simplify the alternative expression by combining like terms:

$$\text{Price after discount} = n - \frac{3}{20}n$$

$$\text{Price after discount} = \frac{17}{20}n$$

Q: What are the two correct ways to represent the price after discount?

A: The two correct ways to represent the price after discount are:

• $n - 0.15n$
• $\frac{17}{20}n$

Q: How can we verify that these expressions represent the price after discount correctly?

A: We can verify that these expressions represent the price after discount correctly by using an example. For example, if the regular price of a shirt is $100, the discount is $15, and the price after discount is $85. We can verify that the two expressions represent the price after discount correctly:

• $100 - 0.15(100) = 100 - 15 = 85$
• $\frac{17}{20}(100) = 85$

Q: What is the importance of understanding discounts and prices after discounts?

A: Understanding discounts and prices after discounts is crucial in making informed decisions in real-life scenarios, such as shopping and finance.

Q: Can you provide an example use case for this problem?

A: For example, if a store is having a sale and the regular price of a shirt is $100, the discount is $15, and the price after discount is $85. We can use the two expressions to represent the price after discount correctly:

• $100 - 0.15(100) = 100 - 15 = 85$
• $\frac{17}{20}(100) = 85$

Conclusion

In conclusion, understanding discounts and prices after discounts is crucial in making informed decisions in real-life scenarios. The two correct ways to represent the price after discount are $n - 0.15n$ and $\frac{17}{20}n$. These expressions represent the price after discount by subtracting the discount from the regular price and by calculating the amount of discount and subtracting it from the regular price.

Final Answer

The final answer is: $\boxed{n - 0.15n, \frac{17}{20}n}$