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Verified answer
Buku = ppensil = b
a) model matematika
4p + 3p = 9.500 ..........(1)
6p = 5b ............(2)
b) harga 1 buku harga 1 pensila
6p = 5b
p = 5/6 b
4p + 3b = 9.500
4(5/6 b) + 3b = 9.500
20/6 b + 3b = 9.500
20/6b + (18/6) b = 9500
38/6 b = 9.500
38b = 9.500 × 6
38b = 57.000
b = 57.000/38
b = 1.500
maka harga 1 pensil = Rp. 1.500
untuk mencari harga buku masukan b = 1.500 ke persamaan 6p = 5b
6p = 5(1.500)
6p = 7.500
p = 7.500 / 6
p = 1.250
maka harga 1 buah buku =Rp 1.250
c) harga 10 buku dan 15 pensil
10 (1.250) + 15(1.500) = 12.500 + 22.500 = 35.000
maka harga 10 buku dan 15 pensil = Rp 35.000