Applications of the System of Linear Equations
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Transcript of Applications of the System of Linear Equations
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Applications of the System of Linear Equations
Module 3
Mixture Problems
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In a Nut Shell What to remember for Mixture Problems
MIXTURE is a mass made out of blending things together.
+ =
(%)(q)
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
(%)(q)MIXTURE
(%)(q)Substance 2 Substance 1
AmountAmount Amount
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In a Nut Shell What to remember for Mixture Problems
Substance A
Substance B
Mixture
%
q
amount∗∗
∗𝒘𝒉𝒆𝒓𝒆𝒚𝒐𝒖𝒖𝒔𝒖𝒂𝒍𝒍𝒚 𝒈𝒆𝒕 𝒕𝒉𝒆𝒆𝒒𝒖𝒂𝒕𝒊𝒐𝒏𝒔
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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
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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
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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
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Examples
Please answer p. 221
#s 15 & 19.