Ratios with Double Number Lines

Front

What is a ratio?

Back

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

Front

How do you represent a ratio using a double number line?

Back

A double number line visually represents two related quantities, allowing for easy comparison and understanding of their relationship.

Front

If the ratio of dogs to cats is 5 to 3, how do you find the number of cats if you know the number of dogs?

Back

To find the number of cats, set up a proportion based on the ratio. If there are 25 dogs, use the ratio 5/3 = 25/x, where x is the number of cats.

Front

What is the purpose of using a double number line in solving ratio problems?

Back

A double number line helps visualize the relationship between two quantities, making it easier to solve problems involving ratios.

Front

How can you determine the amount of a substance needed when given a ratio in a recipe?

Back

Use the ratio to set up a proportion. For example, if a recipe requires 5 cups of flour for every 2 cups of sugar, you can find the amount of flour needed for any given amount of sugar.

Front

What is the formula to find the total area covered by paint given a ratio of gallons to square feet?

Back

The formula is: Area = (Square Feet per Gallon) x (Number of Gallons). For example, if 10 gallons cover 400 square feet, then 1 gallon covers 40 square feet.

Front

How do you convert a ratio into a fraction?

Back

A ratio can be converted into a fraction by placing the first quantity over the second quantity. For example, a ratio of 3 to 2 can be written as 3/2.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal. Proportions can be used to solve for unknown values in ratio problems.

Front

How do you solve for an unknown in a ratio problem?

Back

Set up a proportion based on the known ratios and cross-multiply to solve for the unknown.

Front

What is the significance of equivalent ratios?

Back

Equivalent ratios represent the same relationship between quantities, allowing for flexibility in solving problems involving different amounts.