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The image provided for ITEM SEVEN is incomplete... a) How many out of the 100 will not receive money from the head teacher? b) How much should the headteacher organise for prizing those who fall in th

Mathematics

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The image provided for ITEM SEVEN is incomplete, and crucial information regarding the number of students in each prize category and the specific prize amounts is missing. To demonstrate how to solve this problem, I will make reasonable assumptions for these missing values.

Part a· 2 steps

How many out of the 100 will not receive money from the head teacher?

Assumption: Let's assume the headteacher decided to give gift money to a total of 18 students across various categories (e.g., 10 for academics, 5 for sports, 3 for leadership).

  1. Determine the number of students who will receive money.

    Number of students receiving money = 18

  2. Calculate the number of students who will not receive money.

    Total number of students = 100
    Number of students not receiving money = Total students - Number of students receiving money

    =100−18= 100 - 18 =82= 82

    Out of 100 students, 82 will not receive money from the head teacher.

Part b· 4 steps

How much should the headteacher organise for prizing those who fall in the categories he mentioned?

Assumption: To calculate the total amount, we need to know the specific categories, the number of students in each category, and the prize money allocated per student in each category. Since this information is not visible, I will use a hypothetical example based on common school prize structures and assume the currency is Ugandan Shillings (UGX).

Let's assume the following prize structure:

  • 10 students for academic excellence, each receiving UGX 50,000.
  • 5 students for outstanding performance in sports, each receiving UGX 30,000.
  • 3 students for exemplary leadership, each receiving UGX 20,000.

  1. Calculate the total amount for academic excellence.

    Amount for academics = Number of students ×\times Amount per student

    =10×UGX 50,000= 10 \times \text{UGX } 50,000 =UGX 500,000= \text{UGX } 500,000

  2. Calculate the total amount for sports.

    Amount for sports = Number of students ×\times Amount per student

    =5×UGX 30,000= 5 \times \text{UGX } 30,000 =UGX 150,000= \text{UGX } 150,000

  3. Calculate the total amount for leadership.

    Amount for leadership = Number of students ×\times Amount per student

    =3×UGX 20,000= 3 \times \text{UGX } 20,000 =UGX 60,000= \text{UGX } 60,000

  4. Calculate the total amount the headteacher should organize.

    Total amount = Amount for academics + Amount for sports + Amount for leadership

    =UGX 500,000+UGX 150,000+UGX 60,000= \text{UGX } 500,000 + \text{UGX } 150,000 + \text{UGX } 60,000 =UGX 710,000= \text{UGX } 710,000

    The headteacher should organize UGX 710,000 for prizing.

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