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In a training workshop, 3/8 of the participants were absent. 1/4 attended = morning briefing and the rest were absent. i) What fraction of the participants was absent. ii) Knowing that 10 participants attended = safety briefing, determine how many participants were enrolled in the workshop.

Mathematics

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Here's the solution for question 3:

  1. Calculate the amount spent on purchasing materials and the remaining budget.

    The total monthly budget is UGX 5,000,000.
    Amount spent on purchasing materials = 40%40\% of UGX 5,000,000

    =0.40×5,000,000=2,000,000 UGX= 0.40 \times 5,000,000 = 2,000,000 \text{ UGX}

    Remaining budget after purchasing materials:

    =5,000,000−2,000,000=3,000,000 UGX= 5,000,000 - 2,000,000 = 3,000,000 \text{ UGX}
  2. Calculate the amount spent on machine maintenance and the new remaining budget.

    Amount spent on machine maintenance = 30%30\% of the remaining budget (UGX 3,000,000)

    =0.30×3,000,000=900,000 UGX= 0.30 \times 3,000,000 = 900,000 \text{ UGX}

    Remaining budget after machine maintenance:

    =3,000,000−900,000=2,100,000 UGX= 3,000,000 - 900,000 = 2,100,000 \text{ UGX}
  3. Determine the amount spent on safety equipment (Part a).

    Amount spent on safety equipment = 20%20\% of the remaining budget (UGX 2,100,000)

    =0.20×2,100,000=420,000 UGX= 0.20 \times 2,100,000 = 420,000 \text{ UGX}

    The amount spent on safety equipment is UGX 420,000\boxed{\text{UGX } 420,000}.

  4. Determine the amount of money remaining after all expenditures (Part b).

    The final remaining amount after all expenditures:

    =2,100,000−420,000=1,680,000 UGX= 2,100,000 - 420,000 = 1,680,000 \text{ UGX}

    The amount of money remaining after all expenditures is UGX 1,680,000\boxed{\text{UGX } 1,680,000}.

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