Matematika

Pertanyaan

Aisyah membeli 3 peniti dan 4 benang dengan harga Rp. 2.050,00. Sedangkan Khansa membeli 1 peniti dan 3 benang dengan harga Rp. 1.350,00. Harga 10 benang dan 5 peniti adalah...


A. Rp. 3.500,00
B. Rp. 4.750,00
C. Rp. 7.900,00
D. Rp. 11.500,00

2 Jawaban

  • x = peniti
    y = benang

    3x + 4y = 2050 | x1 (dikalikan 1)
    x + 3y = 1350 |x3 (dikalikan 3)

    3x + 4y = 2050
    3x + 9y = 4050

    dikurangi

    -5y = -2000
    y = 400

    1 benang = 400 rupiah

    x + 3y = 1350
    x + 3 * 400 = 1350
    x + 1200 = 1350
    x = 1350 - 1200
    x = 150

    1 peniti = 150

    10 benang = 10 * 400 = 4000
    5 peniti = 5 * 150 = 750

    jadi total harga 4.750 rupiah (B)
  • peniti = x
    benang = y

    3x + 4y =2.050 | 3| 9x + 12y = 6.150,00
    1x + 3y = 1.350 | 4| 4x + 12y = 5.400,00 -
    5x = 750,00
    x = 750,00 / 5
    = 150,00

    1x + 3y = 1.350
    1(150,00) + 3y = 1.350
    150 + 3y = 1.350
    3y = 1.350 - 150
    y = 1.200/ 3
    = 400

    10x + 5y =
    10(150) + 5(400)
    1500 + 2000
    3.500,00 (A)

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