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Use the token currency to model the amount below. 1) GH¢ 190, 2) 6,340, 3) 2,320

Mathematics

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To model the amounts using token currency, we will break them down into Ghanaian Cedi (GHS) denominations (notes).

  1. Model GHS 190

    We use the largest possible denominations first.

    GHS 190=1×GHS 100+1×GHS 50+2×GHS 20\text{GHS } 190 = 1 \times \text{GHS } 100 + 1 \times \text{GHS } 50 + 2 \times \text{GHS } 20

    This means:

    • One GHS 100 note
    • One GHS 50 note
    • Two GHS 20 notes The total is 100+50+40=GHS 190100 + 50 + 40 = \text{GHS } 190.
  2. Model GHS 26,340

    We use the largest possible denominations.

    GHS 26,340=131×GHS 200+1×GHS 100+2×GHS 20\text{GHS } 26,340 = 131 \times \text{GHS } 200 + 1 \times \text{GHS } 100 + 2 \times \text{GHS } 20

    This means:

    • One hundred and thirty-one GHS 200 notes (131×200=GHS 26,200131 \times 200 = \text{GHS } 26,200)
    • One GHS 100 note
    • Two GHS 20 notes The total is 26,200+100+40=GHS 26,34026,200 + 100 + 40 = \text{GHS } 26,340.
  3. Model GHS 32,320

    We use the largest possible denominations.

    GHS 32,320=161×GHS 200+1×GHS 100+1×GHS 20\text{GHS } 32,320 = 161 \times \text{GHS } 200 + 1 \times \text{GHS } 100 + 1 \times \text{GHS } 20

    This means:

    • One hundred and sixty-one GHS 200 notes (161×200=GHS 32,200161 \times 200 = \text{GHS } 32,200)
    • One GHS 100 note
    • One GHS 20 note The total is 32,200+100+20=GHS 32,32032,200 + 100 + 20 = \text{GHS } 32,320.

    Here are the models for each amount:

    1. GHS 190: One GHS 100 note, One GHS 50 note, Two GHS 20 notes\boxed{\text{One GHS 100 note, One GHS 50 note, Two GHS 20 notes}}
    2. GHS 26,340: One hundred and thirty-one GHS 200 notes, One GHS 100 note, Two GHS 20 notes\boxed{\text{One hundred and thirty-one GHS 200 notes, One GHS 100 note, Two GHS 20 notes}}
    3. GHS 32,320: One hundred and sixty-one GHS 200 notes, One GHS 100 note, One GHS 20 note\boxed{\text{One hundred and sixty-one GHS 200 notes, One GHS 100 note, One GHS 20 note}}
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