3.3 Equivalent Ratio Tables - Missing Values

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What is an equivalent ratio?

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An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, the ratios 1:2 and 2:4 are equivalent.

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How do you find missing values in a ratio table?

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To find missing values in a ratio table, you can use equivalent ratios. If you know one ratio, you can set up a proportion to find the missing value.

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What is the formula for finding a missing value in a ratio?

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If you have a ratio a:b and you want to find the missing value x in the ratio x:b, you can set up the proportion a:b = x:b and solve for x.

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How can you use a ratio table to solve application problems?

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You can use a ratio table to organize information and find relationships between quantities, which helps in solving application problems by providing a clear visual representation.

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What is the relationship between ratios and proportions?

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Ratios compare two quantities, while proportions state that two ratios are equal. Proportions can be used to solve for unknown values in ratios.

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If the ratio of red paint to yellow paint is 3:5, how much yellow paint is needed for 9 oz of red paint?

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To find the amount of yellow paint needed for 9 oz of red paint, set up the proportion 3:5 = 9:x. Solving for x gives you 15 oz of yellow paint.

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What is a ratio table?

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A ratio table is a tool used to organize equivalent ratios in a tabular format, making it easier to see relationships and find missing values.

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

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To determine the total number of items in a ratio problem, add the parts of the ratio together and then use the equivalent ratios to find the total based on the given quantities.

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What is the significance of maintaining equivalent ratios in problem-solving?

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Maintaining equivalent ratios is crucial in problem-solving as it ensures that the relationships between quantities remain consistent, allowing for accurate calculations.

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How can you check if two ratios are equivalent?

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To check if two ratios are equivalent, cross-multiply the terms and see if the products are equal. If a/b = c/d, then a*d = b*c.