Applications of the System of Linear Equations

Module 3

Mixture Problems

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

In a Nut Shell What to remember for Mixture Problems

Substance A

Substance B

Mixture

%

q

amount∗∗

∗𝒘𝒉𝒆𝒓𝒆𝒚𝒐𝒖𝒖𝒔𝒖𝒂𝒍𝒍𝒚 𝒈𝒆𝒕 𝒕𝒉𝒆𝒆𝒒𝒖𝒂𝒕𝒊𝒐𝒏𝒔

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

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

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

Examples

Please answer p. 221

#s 15 & 19.