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The pie chart below shows how Musa spends his income. (a) Find the value of x in degrees. (2 marks) (b) If...

31. The pie chart below shows how Musa spends his income.
(a) Find the value of x in degrees. (2 marks)
(b) If Musa's family spends 240,000 on fees, find Musa's total income. (2 marks)
(c) Find the fraction for fees: (1 mark)
32. The exchange rate for Kenya shillings to Uganda shillings and United states dollars to Ugandan shillings are shown below.
Ksh 1 = Ugsh 35
USD 1 = Ugsh 3600
(a) How much in Kenya shillings will one get from USD 70000? (3 marks)
(b) If a new bicycle costs USD 90, how much could this be in Ugandan shillings? (2 marks)

Answer

  1. (a) The total degrees in a pie chart is 360°. Given the equation 3x + 4x + 5x = 360°, we solve for x:

    12x = 360°

    x = 30°

  2. (b) If 3x = 90° represents 240,000, then:

    1x = 240,000 / 3 = 80,000

    Total income = 12x = 12 * 80,000 = 960,000

  3. (c) The fraction for fees is:

    3x / 12x = 3/12 = 1/4

  4. (a) To convert USD 70000 to Ugandan shillings:

    70000 * 3600 = 252,000,000 Ugsh

  5. (b) To convert USD 90 to Ugandan shillings:

    90 * 3600 = 324,000 Ugsh

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