Using Ratios: 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' or a:b.

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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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If a recipe calls for 2 cups of sugar for every 3 cups of flour, what is the ratio of sugar to flour?

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The ratio of sugar to flour is 2:3.

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CCSS.6.RP.A.1

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For every 4 apples, there are 6 oranges. What is the simplified ratio of apples to oranges?

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The simplified ratio of apples to oranges is 2:3.

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

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

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How do you find the total amount spent if you know the ratio and one quantity?

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Multiply the known quantity by the total parts of the ratio and divide by the part corresponding to the known quantity.

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If Tyler scored 22 home runs in 7 games, how do you find the average home runs per game?

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Divide the total home runs by the number of games: 22 home runs ÷ 7 games = approximately 3.14 home runs per game.

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CCSS.6.RP.A.1

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What is the ratio of wins to losses if a team has 16 wins and 12 losses?

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The ratio of wins to losses is 4:3.

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If a team won 100 games and lost 60, how do you express the ratio of wins to losses?

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The ratio of wins to losses is 5:3.

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CCSS.6.RP.A.1

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What is a word problem involving ratios?

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A word problem involving ratios is a mathematical problem that describes a situation using ratios, requiring the application of ratio concepts to find a solution.