**
WELCOME TO THIS PAGE INTENDED FOR STUDENTS AT THE UNIVERSITY OF THE WESTERN CAPE
REGISTERED FOR THE MODULE:**

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W4 L3 __

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PROBLEM__

An accountant saved 75% of an amount she needs for a new car which she intends to buy cash. She saved on the average R600 per month. If her savings thus far represent 60% of the total saving period (i.e. the total time in which she saves for the required amount), how much must she save in each of the remaining months?

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KEY CONCEPTS__:

- Percentages
- Money
- Time: Months

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DIAGRAM__

AMOUNT A TOTAL T

= R600 x (0.6xT)

= R ..x (0.4xT)

__ANALYSIS__:

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KEY QUESTIONS__:
HELPS WITH UNDERSTANDING OF PROBLEM

What is the amount required?

How much have you saved?

What are you given? What does this mean/ How can you use it?

What must you find?

SEARCH FOR SOLUTION: EXPLORE/ WEIGH UP OPTIONS / DECIDE WHAT IS RELEVANT / THINK ABOUT SIMILAR PROBLEMS and their SOLUTIONS.

EXTRACT RELEVANT KNOWLEDGE TO SOLVE PROBLEM:

Do you need to work with ALGEBRAIC EXPRESSIONS / EQUATIONS? YES/NO

CONSTRUCT the relevant EXPRESSIONS / EQUATIONS

SOLUTION

__There are TWO
CRITICAL AMOUNTS YOU DONT KNOW. THEREFORE YOU WILL HAVE TO WORK WITH TWO
UNKNOWNS A and T. CENTRAL TO THE SOLUTION IS AN UNDERSTANDING OF BASIC
ALGEBRA, the WORKING AND SOLUTION OF LINEAR EQUATIONS__

Let *A *
represent the AMOUNT REQUIRED

Therefore, the accountant already saved: .

Let T* *be equal
to the TOTAL SAVINGS PERIOD.

Now if you saved R600
of 60% of the total saving period *T*, then you have saved:

You therefore still require .

Thus :

0.75 Χ A = 0.60 Χ T Χ R600 ..I

and

0.25 Χ A = 0.4 Χ T Χ AMOUNT REQUIRED . II

THUS:

AMOUNT REQUIRED

BASIC ALGEBRA:

MAKE A THE SUBJECT OF THE FORMULA in

0.75 Χ A = 0.60 Χ T Χ R600

(DIVIDE BY 0.75)

RULES FOR EQUATIONS:

- WHEN REMOVING A TERM FROM ONE SIDE OF AN EQUATION
- WHEN REMOVING A FACTOR .

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A. BODMAS (SECTION 2.5, p.77, 147)

B. ALGORITHM FOR RECURRING DEC. FRACTIONS (CF FORMULA)

C. DIVISIBILITY TESTS FOR:

- TWO, FOUR, EIGHT
- THREE, NINE
- FIVE
- TEN
- ELEVEN

SIMPLE SIMON: ONE?

BRIGHT SPARKIE: SIX & SEVEN?

D. NUMBER PATTERNS

E. INTEGERS

F. TABLE: p.83

**© DESMOND DESAI,
DMD EDU-HOME, 2010**

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