Matematika

Pertanyaan

jumlah uang leni dan murni rp 135.000,00. uang kusti = 2/3 uang leni dan uang leni =4/5 uang murni. berapa rupiah uang mereka masing masing

2 Jawaban

  • L + M = 135.000
    K = 2/3 L
    L = 4/5 M

    SUBSTITUSI
    4/5M + M = 135.000
    9/5 M = 135.000
    M = 135.000 x 5/9
    M= 75.000

    L= 4/5 M
    L = 60.000

    K = 2/3 L
    K = 40.000

  • leni = x
    murni = y
    kusti = z

    x+y = 135.000
    x = 4/5 y diubah menjadi y = 5/4 x

    gunakan substitusi
    x+5/4x = 135.000
    9/4x = 135.000
    x = 60.000

    60.000+y = 135.000
    y = 75.000

    z = 2/3 x
    z = 2/3 . 60.000
    z = 40.000

    leni = Rp60.000
    murni = Rp75.000
    kusti = Rp40.000

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