CHAPTER Ratios, Rates, and Proportional Reasoning

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Name: _____________________________________________________Date: ______________Working Example 2: Solve a Ratio Problem Using Proportional ReasoningA biologist catches and tags 24 trout, and then releases them back into the pond.Two weeks later, he catches 30 trout and finds that 5 of them are tagged.Estimate how many trout are in the pond.SolutionMethod 1: Use a Proportion in Lowest Termsfish recaught with tags fish tagged and released=total fish recaught total fish in pond ( t)5 24=30 tSet up a proportion using equalratios. ÷ 51 246 = tReduce 5 to 1 .30 6× 24÷ 5Method 2: Use the Original Proportion5 24=30 t× 4.85 24=30 t× 4.8t = 30 × 4.8Divide to find what numbermultiplied by 5 gives 24.24 =4.851 24= Make equivalent ratios.6 t× 24t = 6 × 24t =I estimate there arein the pond.troutt =I estimate there aretrout in the pond.Three erasers cost 75¢.How much will a dozen erasers cost?1 dozen erasers = erasers=cSentence: ___________________________________________________________________80 MHR ● Chapter 2: Ratios, Rates, and Proportional Reasoning
Name: _____________________________________________________Date: ______________1. Give an example of a ratio, a rate, and a proportion.Ratio Rate ProportionExample2. Explain how to use a proportion to solve this problem:Three balls cost $1.29. What is the cost of 12 balls?cost cost=# of balls # of balls__________________________________________________________________________________________________________________________________________________________3. Find the missing value.× _____ ÷ _____a)2= b)3 1514=5 35× _____ ÷ _____c)30 645 = d) 3 12=362.3 Proportional Reasoning ● MHR 81
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CHAPTER Ratios, Rates, and Proportional Reasoning

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