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Applications of the System of Linear Equations

Module 3. Mixture Problems. Applications of the System of Linear Equations. In a Nut Shell. What to remember for Mixture Problems MIXTURE is a mass made out of blending things together. amount of the substance = (% of the substance)(quantity of the substance)

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Applications of the System of Linear Equations

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  1. Module 3 Mixture Problems Applications of the System of Linear Equations

  2. In a Nut Shell What to remember for Mixture Problems MIXTURE is a mass made out of blending things together. • amount of the substance • = • (% of the substance)(quantity of the substance) • Multiplication by powers of 10 removes the decimal values. • TABLE will help you organize the data + = Amount Amount Amount (%)(q) (%)(q) (%)(q) MIXTURE Substance 1 Substance 2

  3. In a Nut Shell What to remember for Mixture Problems

  4. Let’s Put On Our Thinking Hats 1. A 20% of HCl solution and 70% HCl solution are to be mixed to obtain 900ml of a 30% of HCl solution. How many milliliters of each solution must be mixed? Adapted from: Exploring Mathematics, REX; Intermediate Algebra, MSA; Intermediate Algebra, Phoenix; Intermediate Algebra, Salesiana

  5. Let’s Put On Our Thinking Hats 2. A chemist has 500l of a solution that is 40% acid. How many liters of water must be added to reduced the acidity to 25% ? Adapted from: Exploring Mathematics, REX; Intermediate Algebra, MSA; Intermediate Algebra, Phoenix; Intermediate Algebra, Salesiana

  6. Let’s Put On Our Thinking Hats 3. A mixture of peanuts and corn sells for Php40 a kilo. The peanuts sells for Php42 a kilo while the corn sells for Php36 a kilo. How many kilos of each kind are used in 12kg of mixture? Adapted from: Exploring Mathematics, REX; Intermediate Algebra, MSA; Intermediate Algebra, Phoenix; Intermediate Algebra, Salesiana

  7. Examples Please answer p. 221 #s 15 & 19.

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