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QUESTION 1 Thabisa is a final year student at the university. She offers tutorial to first year students. She uses public transport to travel to and from to university. Table 1 shows Thabisa's monthly budget.

Mathematics

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Here are the solutions to Thabisa's monthly budget questions:

1.1. Explain the term income.
Income refers to the money an individual or household receives, typically on a regular basis, in exchange for work, goods, services, or through investments.

1.2. Write down ONE fixed expense.
A fixed expense is a cost that does not change from month to month, regardless of activity levels.
One fixed expense from the table is the Internet Fiber (R450).

1.3. Thabisa stated food is 26,7% of the total expense. Calculate the value of A, expense for food.

  1. Identify the total expense from the table.

    The total expense is R4 280,45.

  2. Calculate 26,7% of the total expense.

    A=0,267×R4280,45A = 0,267 \times \text{R}4280,45 A=R1143,08015A = \text{R}1143,08015
  3. Round the value to two decimal places for currency.

    A≈R1143,08A \approx \text{R}1143,08

    The value of A, the expense for food, is R1143,08\boxed{\text{R}1143,08}.

    1.4. Hence, calculate the value of B, the expense for entertainment.

  4. Sum all known expenses, including the calculated value of A.

    Known expenses:

    • Cell phone (contract): R350
    • Clothing account: R600
    • Transport: R800
    • Internet Fiber: R450
    • Food (A): R1143,08
    Sum of known expenses=R350+R600+R800+R450+R1143,08\text{Sum of known expenses} = \text{R}350 + \text{R}600 + \text{R}800 + \text{R}450 + \text{R}1143,08 Sum of known expenses=R3343,08\text{Sum of known expenses} = \text{R}3343,08
  5. Subtract the sum of known expenses from the total expense to find B.

    B=Total expense−Sum of known expensesB = \text{Total expense} - \text{Sum of known expenses} B=R4280,45−R3343,08B = \text{R}4280,45 - \text{R}3343,08 B=R937,37B = \text{R}937,37

    The value of B, the expense for entertainment, is R937,37\boxed{\text{R}937,37}.

    1.5. Express, in simplified form, a ratio of the amount of clothing account to Internet Fiber.

  6. Identify the amounts for clothing account and Internet Fiber.

    • Clothing account: R600
    • Internet Fiber: R450
  7. Write the ratio and simplify it.

    Ratio=Clothing account:Internet Fiber\text{Ratio} = \text{Clothing account} : \text{Internet Fiber} Ratio=R600:R450\text{Ratio} = \text{R}600 : \text{R}450

    Divide both sides by 10:

    60:4560 : 45

    Divide both sides by 15:

    4:34 : 3

    The simplified ratio is 4:3\boxed{4:3}.

    1.6. Thabisa and her friends plan to take a holiday tour during December 2026. Each one should contribute R2 000 towards the holiday tour. She decided to save her monthly surplus for 6 months. Calculate the total amount she will have after 6 months.

  8. Calculate Thabisa's monthly surplus.

    • Total Income: R4 800
    • Total Expense: R4 280,45
    Monthly Surplus=Total Income−Total Expense\text{Monthly Surplus} = \text{Total Income} - \text{Total Expense} Monthly Surplus=R4800−R4280,45\text{Monthly Surplus} = \text{R}4800 - \text{R}4280,45 Monthly Surplus=R519,55\text{Monthly Surplus} = \text{R}519,55
  9. Calculate the total amount saved after 6 months.

    Total Saved=Monthly Surplus×6\text{Total Saved} = \text{Monthly Surplus} \times 6 Total Saved=R519,55×6\text{Total Saved} = \text{R}519,55 \times 6 Total Saved=R3117,30\text{Total Saved} = \text{R}3117,30

    The total amount she will have after 6 months is R3117,30\boxed{\text{R}3117,30}.

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