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A man has 440 coins and notes consisting of 50 Kobo notes and 10 Kobo pieces. If the total value of the money is N60, how many 50 Kobo notes does he have?

Mathematics

ScanSolve AI Answer

Answer

40\text{40}

Step-by-step solution

3 steps
  1. Define variables and set up the equations.

    Let xx be the number of 50 Kobo notes.
    Let yy be the number of 10 Kobo pieces.
    The total number of notes and pieces is 440:

    x+y=440(1)x + y = 440 \quad (1)

    The total value is N60. Since 1 Naira (N) = 100 Kobo, N60 is equal to 60×100=600060 \times 100 = 6000 Kobo.
    The total value equation is:

    50x+10y=6000(2)50x + 10y = 6000 \quad (2)
  2. Express one variable in terms of the other.

    From equation (1), we can express yy in terms of xx:

    y=440−xy = 440 - x
  3. Substitute this expression into equation (2) and solve for xx.

    Substitute y=440−xy = 440 - x into 50x+10y=600050x + 10y = 6000:

    50x+10(440−x)=600050x + 10(440 - x) = 6000 50x+4400−10x=600050x + 4400 - 10x = 6000

    Combine the terms with xx:

    40x+4400=600040x + 4400 = 6000

    Subtract 4400 from both sides:

    40x=6000−440040x = 6000 - 4400 40x=160040x = 1600

    Divide by 40:

    x=160040x = \frac{1600}{40} x=40x = 40

    The number of 50 Kobo notes is 40.

    The final answer is 40\text{40}.

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