Solving Mixture Problems: Raisins, Nuts, and Dilution Challenges
This guide dives into mixture problems that involve calculating the proper proportions of different components to achieve a desired mixture. Example 1 features a health food store selling a mixture of raisins and nuts, detailing how to mix them to create 20 kg of a snack worth $4.00/kg. Example 2 illustrates diluting a battery acid solution from 60% to 45% by adding water. Throughout, we provide step-by-step equations and solutions, making it easier for students to understand and apply these concepts.
Solving Mixture Problems: Raisins, Nuts, and Dilution Challenges
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Presentation Transcript
7-7Mixture problems Objective to solve mixture problems
7-7Mixture problems • Example 1: A health food store sells a mixture of raisins and nuts. Raisins sell for $3.50/kg and nuts sell for $4.75/kg. How many kg of each should be mixed to make 20 kg of this snack worth $4.00/kg.
7-7Mixture problems • Example 1: A health food store sells a mixture of raisins and nuts. Raisins sell for $3.50/kg and nuts sell for $4.75/kg. How many kg of each should be mixed to make 20 kg of this snack worth $4.00/kg. • Find: kg of raisins and nuts • Let x = kg of raisins • What is expression for kg of nuts?
7-7Mixture problems • Example 1: A health food store sells a mixture of raisins and nuts. Raisins sell for $3.50/kg and nuts sell for $4.75/kg. How many kg of each should be mixed to make 20 kg of this snack worth $4.00/kg. • Write equations & Solve: • Cost of raisins + cost of nuts = total cost of mixture
7-7Mixture problems • Example 2: An auto mechanic has 300 mL of battery acid solution that is 60% acid. He must add water to this solution to dilute it so that it is only 45% acid. How much water should he add?
7-7Mixture problems • Example 2: An auto mechanic has 300 mL of battery acid solution that is 60% acid. He must add water to this solution to dilute it so that it is only 45% acid. How much water should he add?
7-7Mixture problems • Homework: p. 322 1 – 21 odds
