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Solve the following problems: Calculate profit from cost and selling price, solve for y in an algebraic equation, and calculate journey duration.

Mathematics

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Here are the solutions to the problems:

Question 9 (Profit Calculation):

  1. Identify the cost price and selling price.

    Cost Price = sh 10,000
    Selling Price = sh 12,000

  2. Calculate the profit.

    Profit = Selling Price - Cost Price
    Profit = sh 12,000 - sh 10,000
    Profit = sh 2,000

    The profit was sh 2,000\boxed{\text{sh 2,000}}.

    Question 8 (Algebraic Equation):
    Solve for yy:

    y2−3=5\frac{y}{2} - 3 = 5
  3. Add 3 to both sides of the equation.

    y2−3+3=5+3\frac{y}{2} - 3 + 3 = 5 + 3 y2=8\frac{y}{2} = 8
  4. Multiply both sides by 2.

    y2×2=8×2\frac{y}{2} \times 2 = 8 \times 2 y=16y = 16

    The value of yy is 16\boxed{16}.

    Question 9 (Journey Duration):

  5. Note the departure and arrival times.

    Departure Time = 9:15 am
    Arrival Time = 1:15 pm

  6. Calculate the duration of the journey.

    From 9:15 am to 12:15 pm is 3 hours.
    From 12:15 pm to 1:15 pm is 1 hour.
    Total duration = 3 hours + 1 hour = 4 hours.

    The journey took 4 hours\boxed{\text{4 hours}}.

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