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Determine the Combination of GHC 20, GHC 50 notes and GHC 200 notes to make GHC 43,400

Mathematics

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Problem: Determine the combination of GH¢ 20, GH¢ 50, GH¢ 200, and GH¢ 500 notes to make GH¢ 43,400

  1. Calculate the number of GH¢ 500 notes.

    Divide the total amount by GH¢ 500 and take the integer part.

    Number of GH¢ 500 notes=⌊43400500⌋=86\text{Number of GH¢ 500 notes} = \left\lfloor \frac{43400}{500} \right\rfloor = 86 Amount from GH¢ 500 notes=86×500=43000\text{Amount from GH¢ 500 notes} = 86 \times 500 = 43000 Remaining amount=43400−43000=400\text{Remaining amount} = 43400 - 43000 = 400
  2. Calculate the number of GH¢ 200 notes for the remaining amount.

    Number of GH¢ 200 notes=⌊400200⌋=2\text{Number of GH¢ 200 notes} = \left\lfloor \frac{400}{200} \right\rfloor = 2 Amount from GH¢ 200 notes=2×200=400\text{Amount from GH¢ 200 notes} = 2 \times 200 = 400 Remaining amount=400−400=0\text{Remaining amount} = 400 - 400 = 0
  3. Calculate the number of GH¢ 50 and GH¢ 20 notes.

    Since the remaining amount is GH¢ 0, no GH¢ 50 or GH¢ 20 notes are needed.

    Number of GH¢ 50 notes=0\text{Number of GH¢ 50 notes} = 0 Number of GH¢ 20 notes=0\text{Number of GH¢ 20 notes} = 0
  4. Summarize the combination of notes.

    The combination is 86 notes of GH¢ 500, 2 notes of GH¢ 200, 0 notes of GH¢ 50, and 0 notes of GH¢ 20.
    Verify the total: 86×500+2×200+0×50+0×20=43000+400+0+0=4340086 \times 500 + 2 \times 200 + 0 \times 50 + 0 \times 20 = 43000 + 400 + 0 + 0 = 43400.

    The combination of notes is:

    86 notes of GH¢ 500, 2 notes of GH¢ 200, 0 notes of GH¢ 50, 0 notes of GH¢ 20\boxed{\text{86 notes of GH¢ 500, 2 notes of GH¢ 200, 0 notes of GH¢ 50, 0 notes of GH¢ 20}}
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