Unit prices

Learning Objectives Define the term 'unit price' and explain its significance as a specific type of rate. Calculate the unit price for a given item by setting up and simplifying a rate. Compare two or more products using their unit prices to determine the most cost-effective option (the 'better buy'). Solve multi-step problems involving unit prices, including those requiring unit conversions (e.g., grams to kilograms). Apply the concept of unit price to make informed consumer decisions in real-world scenarios. Set up and solve proportions using unit prices to find an unknown cost or quantity. Ever wonder if the giant 'family size' box of cereal is *actually* cheaper? 🛒 Let's find out how math can make you a smarter shopper! This tutorial...

TermDefinitionExample RatioA comparison of two quantities, often written with a colon (a:b) or as a fraction (a/b).The ratio of students to teachers in a class is 25:1. RateA special type of ratio that compares two quantities with different units of measurement.A car's speed is a rate: 100 kilometers per 2 hours. Unit RateA rate that has been simplified so that the second quantity (the denominator) is equal to 1.The car's unit rate is 50 km/hour, meaning it travels 50 kilometers for every 1 hour. Unit PriceA specific unit rate that expresses the cost per single unit of an item (e.g., per gram, per liter, per item).If a 500g box of pasta costs $2.50, the unit price is $0.005 per gram ($2.50 / 500g). Better BuyThe item with the lower unit price, representing the more cost-effectiv...

The Unit Price Formula \text{Unit Price} = \frac{\text{Total Price}}{\text{Total Quantity}} To find the cost per single unit, divide the total cost of the item by the total number of units (e.g., grams, liters, items). The result is the price 'per one' unit. The 'Better Buy' Comparison \text{Item A is a better buy than Item B if Unit Price}_A < \text{Unit Price}_B After calculating the unit price for two or more items (with the same units), the one with the lowest unit price offers the most quantity for the cost and is considered the 'better buy'. Proportional Pricing Formula \frac{\text{Price}_1}{\text{Quantity}_1} = \frac{\text{Price}_2}{\text{Quantity}_2} Use this proportion to find an unknown price or quantity when the unit price...