Ratios and Equivalent Ratio Word Problems

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What is a ratio?

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A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b'.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you simplify a ratio?

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To simplify a ratio, divide both terms by their greatest common divisor (GCD).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is an equivalent ratio?

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Equivalent ratios are ratios that express the same relationship between two quantities, even if the numbers are different.

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CCSS.6.RP.A.3A

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If the ratio of red apples to green apples is 4 to 3, how many red apples are there if there are 12 green apples?

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There are 16 red apples.

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What is the simplified ratio of 100 wins to 60 losses?

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5 to 3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If Carl spends $5 on movies for every $15 on video games, what is the ratio of his spending?

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The ratio is 1 to 3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you find the total number of items in a ratio?

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Add the parts of the ratio together to find the total number of items.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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In a ratio of 3 cats to 4 dogs, how many dogs are there if there are 36 cats?

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There are 48 dogs.

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What is the simplest form of the ratio 4 cookies to 12 cupcakes?

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1 to 3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If a recipe calls for a ratio of 2 cups of flour to 3 cups of sugar, how much sugar is needed for 4 cups of flour?

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6 cups of sugar.