Ratios and 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 rate?

Back

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

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity by the number of units. For example, if you buy 4 pizzas for $68, the unit rate is $68 ÷ 4 = $17 per pizza.

Front

If an elevator can hold 45 people in 20 minutes, how many people can it hold in 1 hour?

Back

135 people.

Front

If Einstein Bagels can make 300 bagels in 2 hours, how many can they make in 21 hours?

Back

3,150 bagels.

Front

How do you find the price per item?

Back

To find the price per item, divide the total cost by the number of items. For example, if 4 basketballs cost $36, the price per basketball is $36 ÷ 4 = $9.

Front

Which is a better buy: 3 sodas for $1.05 or 5 sodas for $1.15?

Back

5 sodas for $1.15 is the better buy.

Front

What is the formula for calculating a ratio?

Back

The formula for calculating a ratio is: Ratio = Quantity A / Quantity B.

Front

What does it mean if two ratios are equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they simplify to the same fraction.

Front

How can you express a ratio as a fraction?

Back

A ratio can be expressed as a fraction by placing the first quantity over the second quantity. For example, the ratio 3:4 can be expressed as 3/4.