Unit prices with unit conversions

Learning Objectives Calculate the unit price of an item given its total cost and quantity. Identify appropriate unit conversion factors for common measurements (e.g., ounces to pounds, milliliters to liters). Convert quantities between different units of measurement using conversion factors. Compare unit prices of different products after performing necessary unit conversions. Solve real-world problems involving unit prices and unit conversions to make informed purchasing decisions. Explain the importance of unit prices in consumer choices. Ever wonder which cereal box is the better deal, the big one or the small one? 🧐 Let's learn how to find out! In this lesson, you'll discover how to calculate unit prices, even when items are measured in different units. This...

TermDefinitionExample Unit PriceThe cost per single unit of an item. It tells you how much you pay for one ounce, one pound, one liter, etc.If a 10-ounce bag of chips costs $2.50, the unit price is $0.25 per ounce. Unit RateA rate where the second quantity in the comparison is one unit. Unit price is a specific type of unit rate.60 miles per 1 hour, or 15 pages per 1 minute. Conversion FactorA ratio of two equivalent measurements expressed in different units, used to convert from one unit to another.To convert pounds to ounces, you can use the conversion factor $\frac{16 \text{ ounces}}{1 \text{ pound}}$. NumeratorThe top number in a fraction or ratio, representing the part of the whole or the quantity being divided.In the fraction $\frac{3}{4}$, 3 is the numerator. DenominatorThe bottom...

Calculating Unit Price $\text{Unit Price} = \frac{\text{Total Cost}}{\text{Quantity}}$ To find the cost of one unit of an item, divide the total price you pay by the total number of units you receive. Using Conversion Factors $\text{Original Quantity} \times \frac{\text{Desired Unit}}{\text{Original Unit}} = \text{Converted Quantity}$ To convert a quantity from one unit to another, multiply the original quantity by a conversion factor. The conversion factor should be set up so that the original unit cancels out, leaving the desired unit. Proportion for Unit Conversion $\frac{\text{Known Quantity}_1}{\text{Known Unit}_1} = \frac{\text{Unknown Quantity}_2}{\text{Desired Unit}_2}$ Set up a proportion where one ratio represents a known conversion (e.g., 1 pound = 16 ounc...