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Understanding Equivalent Ratios and Proportions in Weight Calculation

This guide explores the concept of equivalent ratios, focusing on how to determine values using total quantity. It addresses challenges in finding missing values in a ratio table, examines the relationship between hiker and backpack weight, and whether this relationship is always proportional. It details the process for writing equations and solving proportions, highlighting necessary information to find missing values. The practical application includes calculating weights based on total weight and understanding pizza meat quantities in the context of ratios.

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Understanding Equivalent Ratios and Proportions in Weight Calculation

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Presentation Transcript

  1. Finding Equivalent Ratios Given the Total Quantity

  2. Remember that 16 oz = 1lb

  3. What challenges did you encounter? • How did you find the value for the third column? • Given the third column and one of the first two, how did you find the missing value? • Is the backpack weight proportional to the hiker’s weight? • Will backpack weight always be proportional to hiker weight? • Describe the process for writing the equation

  4. Describe the process for solving using proportions • What must be known to find a missing value regardless of the method used? • Now that we know the ratio of hiker weight to backpack weight can we find both these parts given only total weight? • Find the hiker weight and backpack weight if the total weight is 120lbs.

  5. What is the total number of cups of meat on one meatlovers pizza?

  6. What do you need to know to complete this table?

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