Ratios/Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed in terms of 'per' (e.g., miles per hour, dollars per pound).

Front

How do you calculate the unit rate from a total cost and quantity?

Back

To calculate the unit rate, divide the total cost by the quantity. For example, if you spend $40 on 5 pounds of concrete, the unit rate is $40 ÷ 5 = $8 per pound.

Front

What is the unit price?

Back

The unit price is the cost for one unit of a product, allowing for easy comparison between different products.

Front

How do you find the better deal between two products?

Back

To find the better deal, calculate the unit price for each product and compare them. The product with the lower unit price is the better deal.

Front

What is the formula to find the cost per pound?

Back

Cost per pound = Total cost ÷ Total weight in pounds.

Front

If a 20-lb bag of dog food costs $23.44, what is the cost per pound?

Back

Cost per pound = $23.44 ÷ 20 = $1.17 per pound.

Front

How do you determine the total cost for multiple items based on a rate?

Back

Multiply the rate by the number of items. For example, if 4 tickets cost $124, the cost for 7 tickets is (124 ÷ 4) × 7 = $217.

Front

What is the relationship between ratios and rates?

Back

Rates are a specific type of ratio that compares two quantities with different units, such as speed (miles per hour) or price (dollars per pound).

Front

How do you express a total cost as a unit rate?

Back

To express a total cost as a unit rate, divide the total cost by the number of items. For example, $56 for 4 bags of candy gives a unit rate of $56 ÷ 4 = $14 per bag.