Matematika

Pertanyaan

agi membeli 3 roti 2 donat = 9000 dikdik membeli 2 roti 1 donat = 5500 berapa harga 2 roti 3 donat?

2 Jawaban

  • 3r+2d = 9000  |x2|   6r+4d = 18000
    2r+d = 5500    |x3|   6r+3d = 16500
                                            d = 1500
    3r+2d = 9000
    3r+2(1500) = 9000
    3r+3000 = 9000
    3r = 9000-3000
    3r = 6000
    r = 6000:3
    r= 2000

    2r+3d =
    2(2000)+3(1500) = 8500
  • misal :
    roti = x
    donat = y

    3x + 2y = 9000 (i)
    2x + y = 5500 (ii)

    eliminasi persamaan (i) dan (ii)
    3x + 2y = 9000 dikalikan 1
    2x + y = 5500 dikalikan 2

    3x + 2y = 9000
    4x + 2y = 11000
    ----------------------- -
    -x = -2000
    x = 2000

    3x + 2y = 9000
    3(2000) + 2y = 9000
    6000 + 2y = 9000
    2y = 9000 - 6000
    y = 3000/2
    y = 1500

    1 harga roti = 2000
    1 harga donat = 1500
    yg ditanya
    2 roti + 3 donat =
    2(2000) + 3(1500) = 4000 + 4500 = 8500
    jadi harga 2 roti dan 3 donat adalah 8500

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