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Chapter 3: Problem 26

Find the unit price (in dollars per ounce). An 18-ounce box of cereal for \(\$ 4.29\)

Short Answer

Expert verified
The unit price is calculated as follows: Unit Price = \(\$ 4.29\) / \(18\) ounces. Complete the division to get the final result.

Step by step solution

01

Identify the terms

From the problem, we can identify the total cost of the cereal as \(\$ 4.29\) and the total quantity as \(18\) ounces.
02

Set up the division formula

In order to discover the unit cost, we must divide the total cost by the number of units. So the formula will be Unit price = Total Cost / Total Quantity, in this case.
03

Perform the calculation

Substituting the given terms into our formula, we get Unit Price = \(\$ 4.29\) / \(18\) ounces.
04

Calculate the unit price

Conduct the division to discover the unit price.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Unit Rate
Understanding the unit rate is crucial when trying to compare prices or find the most cost-effective option. The unit rate reflects how much one unit of a product costs, making it easier to assess value without purchasing the entire product. In our example, we need to find out how much each ounce of cereal costs by calculating the unit rate. Why is Unit Rate Useful?
  • Helps in comparing different sizes of the same product.
  • Allows for cost-effective decision making.
  • Makes it easier to determine the best buy when shopping.
Once we determine the unit rate, we can compare it to other similar items and decide which offers the best value.
Division
Division plays a key role in finding the unit rate as it breaks down the total cost into individual units. In math, division allows us to distribute the total evenly into parts, which in this case means dividing the total cost by the number of ounces. How to Perform Division for Unit Rates
  1. Identify the total amount, like the cost of the cereal box.
  2. Determine the total number of units, such as the ounces in the cereal box.
  3. Divide the total cost by the number of units to find the cost per unit.
By accurately performing these steps, you will understand the precise cost associated with each singular unit.
Word Problems
Word problems require a deeper understanding to extract the right information needed for your calculations. Here, it鈥檚 important to identify the key figures: total cost and total quantity of the cereal. Extracting all necessary details from the question lets you set the correct mathematical operation. Steps to Solve Word Problems
  • Read the problem carefully to understand what is being asked.
  • Identify the necessary numbers, like total cost and total units.
  • Determine which operation is needed, here it's division.
  • Set up your equation using the numbers from the problem.
Once you follow these steps thoroughly, tackling word problems becomes much less daunting.
Cost per Unit
Cost per unit is fundamental in determining how competitively a product is priced compared to similar offerings. This measure of cost is simply calculated by dividing the total cost by the number of units. Why Knowing Cost per Unit is Important
  • It helps you budget better when shopping.
  • Certain retailers provide discounts for larger quantities, knowing the cost per unit can validate these claims.
  • It allows for an informed decision when choosing between different products.
Deciphering the cost per unit empowers consumers to make conscious spending choices, leading to smarter purchases.

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