Ratios and Double Number Lines

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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.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you express a ratio?

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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').

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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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.

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CCSS.7.RP.A.2D

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

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

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

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

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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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?

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

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CCSS.6.RP.A.1

CCSS.6.RP.A.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?

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

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CCSS.1.NBT.A.1

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

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

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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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?

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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.