Ratios and 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 express a ratio?

Back

A ratio can be expressed in three ways: as a fraction (e.g., 5/3), with a colon (e.g., 5:3), or in words (e.g., '5 to 3').

Front

What is a double number line?

Back

A double number line is a visual representation that shows two related quantities along two parallel lines, helping to illustrate ratios and proportional relationships.

Front

How can you use a double number line to solve ratio problems?

Back

You can use a double number line to find equivalent ratios by identifying corresponding values on each line.

Front

What is the ratio of school apps to game apps if Kelly has 10 apps with 5 school apps and 3 game apps?

Back

The ratio of school apps to game apps is 5 to 3.

Front

If Optimus Prime uses 9 cups of raisins to make 6 loaves of bread, what is the ratio of cups of raisins to loaves of bread?

Back

The ratio of cups of raisins to loaves of bread is 9:6, which simplifies to 3:2.

Front

How do you find the total number of animals in a pet store if there are 8 cats, 12 dogs, and 3 rabbits?

Back

Add the number of each type of animal: 8 + 12 + 3 = 23 total animals.

Front

What does the ratio 8:23 represent in the context of a pet store with 8 cats, 12 dogs, and 3 rabbits?

Back

The ratio 8:23 compares the number of cats to the total number of animals in the store.

Front

If the ratio of red paint to yellow paint is 2:1, how much yellow paint is needed for 4 batches if each batch requires 2 ml of red paint?

Back

For 4 batches, you need 8 ml of red paint, which means you need 4 ml of yellow paint (since the ratio is 2:1).

Front

How do you calculate the amount of yellow paint needed if the ratio of red to yellow paint is 5:2 and you need 10 ml of red paint?

Back

If the ratio is 5:2, for every 5 ml of red paint, you need 2 ml of yellow paint. For 10 ml of red paint, you need 4 ml of yellow paint.