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Introduction to Mixture Applications The following is designed to help you understand the basics of one of the popular application problems in introductory.

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Presentation on theme: "Introduction to Mixture Applications The following is designed to help you understand the basics of one of the popular application problems in introductory."— Presentation transcript:

1 Introduction to Mixture Applications The following is designed to help you understand the basics of one of the popular application problems in introductory algebra: mixture problems. Recall that percent means per hundred, so... Example 1:

2 The jar on the right is marked in 10 equal divisions Fill the jar with acid up to the “2” mark … Example 2:

3 The jar on the right is marked in 10 equal divisions Fill the jar with acid up to the “2” mark … … and add water to the top of the glass… Example 2:

4 The jar on the right is marked in 10 equal divisions Fill the jar with acid up to the “2” mark … … and add water to the top of the glass… Example 2:

5 The jar has 2 units of acid … … and 8 units of water.

6 … for a total of 10 units of mixed solution.

7 The acid represents 2 units … … out of a total of 10 units, or …

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9 This means that the acid represents 20% of the total liquid in the jar. Figured another way, the amount of acid is

10 Mix 2 units of acid with only 6 units of added water. Example 3:

11 units of acid 6 units of water Mix 2 units of acid with only 6 units of added water. Example 3:

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13 This means that the acid represents 25% of the total liquid in the jar. Figured another way, the amount of acid is

14 Mix acid and water again. Example 4:

15 Mix acid and water again. Example 4:

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17 Mix acid and water again. Example 5:

18 Mix acid and water again. Example 5: If the solution is 60% acid, determine the number of units of acid

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20 Assume the jar has x units of solution that is 40% acid. Example 6: Write an expression for the amount of acid in the jar.

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