Ratios, Rates, and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or price per item.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you calculate the unit price?

Back

To calculate the unit price, divide the total cost by the total quantity.

Front

If water leaks at a rate of 5 gallons every 3 days, how many gallons leak in 1 day?

Back

1.67 gallons per day.

Front

If a bakery uses 1.75 cups of flour for each batch of cookies, how many batches can be made with 5.25 cups of flour?

Back

3 batches.

Front

If a recipe requires 2 cups of milk for every 3 cups of flour, how many cups of flour are needed for 8 cups of milk?

Back

12 cups of flour.

Front

What is the formula to find the total amount when given a rate and time?

Back

Total Amount = Rate × Time.

Front

If a bakery makes 100 batches of cookies in 8 hours, how many batches do they make in 1 hour?

Back

12.5 batches per hour.

Front

How do you set up a proportion to solve for an unknown?

Back

Set the two ratios equal to each other and cross-multiply to solve for the unknown.