Using Unit Prices to Find the Cost of 20 Pens

Oct 13, 2025 by talynt.org 89 views

What is a Unit Price?

A unit price is the cost of a single unit of a product, such as a pen. It is calculated by dividing the total cost of the product by the number of units. In the context of the given problem, the unit price of a pen is $2.34 ÷ 6 = $0.39 per pen.

Using Unit Prices to Find the Cost of 20 Pens

To find the cost of 20 pens, we can use the unit price of a single pen. Since the unit price is $0.39 per pen, we can multiply this price by the number of pens we want to find the cost for, which is 20.

Step 1: Identify the Unit Price

The unit price of a pen is $0.39.

Step 2: Multiply the Unit Price by the Number of Pens

To find the cost of 20 pens, we multiply the unit price by 20.

Cost of 20 pens = Unit price × Number of pens = $0.39 × 20 = $7.80

Step 3: Verify the Answer

We can verify our answer by checking if the cost of 20 pens is indeed $7.80.

Cost of 20 pens = $2.34 × 20 (since the unit price is $2.34 ÷ 6 = $0.39, but the question states that a set of 20 pens is sold at the same unit price as a set of 6 pens) = $46.80 ÷ 6 = $7.80

Conclusion

In conclusion, to find the cost of 20 pens, we can use the unit price of a single pen. We multiply the unit price by the number of pens we want to find the cost for, which is 20. The cost of 20 pens is $7.80.

Answer to Question 5

The correct answer to question 5 is:

B. Divide the cost of 20 pens by 20 and multiply the quotient by 6.

This is because the unit price of a pen is $2.34 ÷ 6 = $0.39, and we can find the cost of 20 pens by multiplying the unit price by 20.

Answer to Question 6

The correct answer to question 6 is:

A set of 20 pens is sold at the same unit price as a set of 6 pens, which is $2.34 ÷ 6 = $0.39 per pen.

Discussion

The concept of unit prices is an essential tool in mathematics, particularly in real-world applications such as shopping and finance. By understanding how to calculate and use unit prices, we can make informed decisions about our purchases and investments.

Real-World Applications

Unit prices have numerous real-world applications, including:

Shopping: When comparing prices of different products, we can use unit prices to determine which product is the best value.
Finance: When investing in stocks or bonds, we can use unit prices to determine the cost of a single unit of the investment.
Business: When pricing products or services, businesses can use unit prices to determine the cost of a single unit of the product or service.

Conclusion

Frequently Asked Questions About Unit Prices

Q: What is a unit price?

A: A unit price is the cost of a single unit of a product, such as a pen. It is calculated by dividing the total cost of the product by the number of units.

Q: How do I calculate a unit price?

A: To calculate a unit price, you need to divide the total cost of the product by the number of units. For example, if a set of 6 pens costs $2.34, the unit price would be $2.34 ÷ 6 = $0.39 per pen.

Q: What is the difference between a unit price and a price per unit?

A: A unit price and a price per unit are the same thing. They both refer to the cost of a single unit of a product.

Q: How do I use a unit price to find the cost of a certain number of units?

A: To find the cost of a certain number of units, you need to multiply the unit price by the number of units. For example, if the unit price of a pen is $0.39 and you want to find the cost of 20 pens, you would multiply $0.39 by 20.

Q: Can I use a unit price to compare prices of different products?

A: Yes, you can use a unit price to compare prices of different products. By comparing the unit prices of different products, you can determine which product is the best value.

Q: What are some real-world applications of unit prices?

A: Unit prices have numerous real-world applications, including:

Shopping: When comparing prices of different products, you can use unit prices to determine which product is the best value.
Finance: When investing in stocks or bonds, you can use unit prices to determine the cost of a single unit of the investment.
Business: When pricing products or services, businesses can use unit prices to determine the cost of a single unit of the product or service.

Q: How do I calculate a unit price when the number of units is not a whole number?

A: To calculate a unit price when the number of units is not a whole number, you can use a calculator or a computer to perform the division. Alternatively, you can round the number of units to the nearest whole number and then calculate the unit price.

Q: Can I use a unit price to find the cost of a product that is sold in a bundle?

A: Yes, you can use a unit price to find the cost of a product that is sold in a bundle. By calculating the unit price of the product, you can determine the cost of a single unit of the product, even if it is sold in a bundle.

Q: What are some common mistakes to avoid when calculating unit prices?

A: Some common mistakes to avoid when calculating unit prices include:

Not rounding the number of units to the nearest whole number
Not using a calculator or computer to perform the division
Not considering the cost of any additional items that may be included in the product

Conclusion

In conclusion, unit prices are an essential tool in mathematics, particularly in real-world applications such as shopping and finance. By understanding how to calculate and use unit prices, you can make informed decisions about your purchases and investments.