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Mary's monthly salary is KSh 30,000 plus a 15% commission on sales above KSh 50,000. If she sold KSh 350,000 worth of goods, what were her total earnings for the month? Jane is 12. Peter is twice her

Mathematics

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3 parts
44

KSh 75,000\text{KSh } 75,000

a

3j

b

36 years36 \text{ years}

Step-by-step solution

3 steps

Here are the solutions for questions 44, 45, 46, and 47.

Part 44· 3 steps

  1. Calculate the sales amount on which commission is paid.

    Commission is paid on sales above KSh 50,000.

    Sales for commission=Total sales−Threshold\text{Sales for commission} = \text{Total sales} - \text{Threshold} Sales for commission=KSh 350,000−KSh 50,000=KSh 300,000\text{Sales for commission} = \text{KSh } 350,000 - \text{KSh } 50,000 = \text{KSh } 300,000

  2. Calculate the commission earned.

    Commission rate is 15%.

    Commission=15%×KSh 300,000\text{Commission} = 15\% \times \text{KSh } 300,000 Commission=15100×300,000=15×3,000=KSh 45,000\text{Commission} = \frac{15}{100} \times 300,000 = 15 \times 3,000 = \text{KSh } 45,000

  3. Calculate Mary's total earnings for the month.

    Total earnings = Fixed monthly salary + Commission

    Total earnings=KSh 30,000+KSh 45,000=KSh 75,000\text{Total earnings} = \text{KSh } 30,000 + \text{KSh } 45,000 = \text{KSh } 75,000

    Mary earned KSh 75,000\boxed{\text{KSh } 75,000} that month.

    Your calculation for Question 44 is ❌ Incorrect. The commission should be calculated only on the amount above KSh 50,000, not on the total sales.

Part 45

Let Jane's age be jj.
Peter is twice as old as Jane, so Peter's age is 2j2j.

Part a3j

Write an expression for the sum of their ages.

Sum of ages=Jane’s age+Peter’s age\text{Sum of ages} = \text{Jane's age} + \text{Peter's age} Sum of ages=j+2j=3j\text{Sum of ages} = j + 2j = 3j

The expression for the sum of their ages is 3j\boxed{3j}.

Part b

36 years36 \text{ years}

Work out the sum of their ages if Jane's age is 12 years.

Substitute j=12j = 12 into the expression from part (a).

Sum of ages=3×12=36 years\text{Sum of ages} = 3 \times 12 = 36 \text{ years}

The sum of their ages is 36 years\boxed{36 \text{ years}}.

Your work for Question 45 is ✅ Correct.

Part 46

Based on the diagram provided:
The given

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