Ratios and Equivalent Ratio Word Problems

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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'.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you simplify a ratio?

Back

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?

Back

An equivalent ratio is a ratio that expresses 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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For every 2 cups of sugar, a recipe requires 5 cups of flour. What is the ratio of sugar to flour?

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The ratio of sugar to flour is 2 to 5.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If a car travels 60 miles in 1 hour, what is the ratio of distance to time?

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The ratio of distance to time is 60 miles to 1 hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the first step to solve a word problem involving ratios?

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Identify the quantities being compared and the ratio between them.

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

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The ratio of video games to movies is 3 to 1.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you find a missing number in an equivalent ratio?

Back

Set up a proportion and cross-multiply to find the missing number.

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What is the simplified form of the ratio 35:14?

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The simplified form of the ratio 35:14 is 5:2.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2