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Using Ratios for Comparing Quantities

Learn how to use ratios to compare two quantities and represent them with various models, fractions, and decimals. Apply mathematical processes to everyday life and solve problems with ratios.

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Using Ratios for Comparing Quantities

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  1. Ratios How do you use ratios to compare two quantities? 7.1

  2. Texas Essential Knowledge and Skills The student is expected to: Proportionality—6.4.C Give examples of ratios as multiplicative comparisons of two quantities describing the same attribute. Proportionality—6.4.E Represent ratios and percents with concrete models, fractions, and decimals. Mathematical Processes 6.1.A Apply mathematics to problems arising in everyday life, society, and the workplace.

  3. ADDITIONAL EXAMPLE 1 The contents of Dean’s pencil box are shown. Write each ratio below in three different ways. pencils to erasers total items to markers

  4. ADDITIONAL EXAMPLE 2 You are making cookies for a party. The recipe makes 4 dozen cookies and requires 3 cups of flour, 2 cups of chocolate chips, and other ingredients. Find an equivalent ratio that shows how many cups of flour and chocolate chips you need to make three times the original recipe. 9 cups of flour and 6 cups of chocolate chips, or

  5. 7.1 LESSON QUIZ Ann’s trail mix recipe is shown below. 6.4.C 1. Write the ratio of oats to seeds in three different ways.

  6. Ann’s trail mix recipe is shown below. 2. Write the ratio of nuts to raisins in three different ways.

  7. Ann’s trail mix recipe is shown below. 3. Write the ratio of oats to total cups of ingredients in three different ways.

  8. Ann’s trail mix recipe is shown below. 4. Make a table to find three equivalent ratios for the ratio of oats to raisins. The ratio is 5:2; Sample table:

  9. Ann’s trail mix recipe is shown below. 5. Find three equivalent ratios for the ratio of nuts to oats. Sample answer:

  10. The Richmond Bakery is celebrating its 10th anniversary by offering 2 cupcakes for $3. Andy constructs this table for quick reference at the front counter. He’s in a hurry and makes mistakes. Find his errors and correct them with equivalent ratios to complete the table. Write the corrected ratios. 6:9, 10:15, 12:18, and 14:21

  11. How do you use ratios to compare two quantities? You can use multiplication to compare two quantities. The terms of a ratio have a multiplicative relationship. Sample answer:

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