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A parent deposited different denominations in the bank for school fees. Five notes of sh. 20,000, two notes of sh. 50,000, and some notes of sh. 10,000. If the total banked was sh. 260,000, how many s

Mathematics

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6 notes\text{6 notes}

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Here's the solution to question 25:

25. A parent deposited different denominations in the bank for school fees as below.

  • Five notes of sh. 20,000
  • Two notes of sh. 50,000
  • Some notes of sh. 10,000

Given that altogether the parent banked sh. 260,000. How many notes of ten thousand shillings did he deposit?

  1. Calculate the total value from the sh.

    20,000 notes.
    Value from sh. 20,000 notes = 5 notes×sh. 20,000/note5 \text{ notes} \times \text{sh. } 20,000/\text{note}

    =sh. 100,000= \text{sh. } 100,000
  2. Calculate the total value from the sh.

    50,000 notes.
    Value from sh. 50,000 notes = 2 notes×sh. 50,000/note2 \text{ notes} \times \text{sh. } 50,000/\text{note}

    =sh. 100,000= \text{sh. } 100,000
  3. Calculate the total value from the known denominations.

    Total known value = Value from sh. 20,000 notes + Value from sh. 50,000 notes

    =sh. 100,000+sh. 100,000= \text{sh. } 100,000 + \text{sh. } 100,000 =sh. 200,000= \text{sh. } 200,000
  4. Calculate the value contributed by the sh.

    10,000 notes.
    Total amount banked = sh. 260,000
    Value from sh. 10,000 notes = Total amount banked - Total known value

    =sh. 260,000−sh. 200,000= \text{sh. } 260,000 - \text{sh. } 200,000 =sh. 60,000= \text{sh. } 60,000
  5. Calculate the number of sh.

    10,000 notes.
    Number of sh. 10,000 notes = Value from sh. 10,000 notesDenomination of each note\frac{\text{Value from sh. 10,000 notes}}{\text{Denomination of each note}}

    =sh. 60,000sh. 10,000/note= \frac{\text{sh. } 60,000}{\text{sh. } 10,000/\text{note}} =6 notes= 6 \text{ notes}

    The parent deposited 6 notes\boxed{\text{6 notes}} of ten thousand shillings.

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