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 miles per hour or cost per item.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total amount by the number of units. For example, if 15 pizzas cost $97.50, the unit rate is $97.50 ÷ 15 = $6.50 per pizza.

Front

What is the unit price of a 7-pack of DVDs costing $23.31?

Back

The unit price is $23.31 ÷ 7 = $3.33 per DVD.

Front

If 4 bars of soap cost $5, how much do 8 bars cost?

Back

If 4 bars cost $5, then 8 bars would cost $10, since $5 x 2 = $10.

Front

What does a ratio of 4:3 mean in terms of triangles to squares?

Back

A ratio of 4:3 means that for every 4 triangles, there are 3 squares.

Front

How do you simplify the ratio 8:12?

Back

To simplify the ratio 8:12, divide both numbers by their greatest common divisor, which is 4. So, 8 ÷ 4 : 12 ÷ 4 = 2:3.

Front

What is the ratio of flour and butter to sugar in a recipe with 3 cups of flour, 1 cup of butter, and 2 cups of sugar?

Back

The ratio of flour and butter (3 + 1 = 4) to sugar (2) is 4:2, which simplifies to 2:1.

Front

If a car travels 150 miles in 3 hours, what is the rate of travel?

Back

The rate of travel is 150 miles ÷ 3 hours = 50 miles per hour.

Front

What is the difference between a ratio and a proportion?

Back

A ratio is a comparison of two quantities, while a proportion states that two ratios are equal.