Ratios, Unit Rates, Proportions

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

How do you find the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if you have 624 calories in 3 servings, the unit rate is 624 ÷ 3 = 208 calories per serving.

Front

What does it mean for two ratios to be equivalent?

Back

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

Front

If the ratio of dogs to cats is 5:3 and there are 25 dogs, how many cats are there?

Back

Using the proportion 5/3 = 25/c, we find c = 15. So, there are 15 cats.

Front

What is the total number of coins if there are 3 pennies, 4 nickels, and 5 dimes?

Back

The total number of coins is 3 + 4 + 5 = 12 coins.

Front

What is the ratio of dimes to total number of coins if there are 5 dimes?

Back

The ratio of dimes to total coins is 5:12.

Front

How do you simplify the ratio 15:25?

Back

To simplify 15:25, divide both numbers by their greatest common divisor, which is 5. So, 15:25 simplifies to 3:5.

Front

What is the unit rate of 100 miles in 4 hours?

Back

The unit rate is 100 miles ÷ 4 hours = 25 miles per hour.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

How many students are in each class if there are 88 students in 4 classes?

Back

There are 88 ÷ 4 = 22 students per class.