WELCOME TO THIS PAGE INTENDED FOR STUDENTS AT THE UNIVERSITY OF THE WESTERN CAPE REGISTERED FOR THE MODULE:
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?
AMOUNT A TOTAL T
= R600 x (0.6xT)
= R ..x (0.4xT)
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
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 .
0.75 Χ A = 0.60 Χ T Χ R600 ..I
0.25 Χ A = 0.4 Χ T Χ AMOUNT REQUIRED . II
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:
A. BODMAS (SECTION 2.5, p.77, 147)
B. ALGORITHM FOR RECURRING DEC. FRACTIONS (CF FORMULA)
C. DIVISIBILITY TESTS FOR:
SIMPLE SIMON: ONE?
BRIGHT SPARKIE: SIX & SEVEN?
D. NUMBER PATTERNS
F. TABLE: p.83
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