Page 49 - Steady Mate Tg1 - Book B

Matematik Tingkatan 1 Bab 6 Persamaan Linear

Jawapan / Answer: Gantikan y = 8 ke dalam a.
Substitute y = 8 into a.
Katakan bilangan buku Rania = x
x = 2(8) + 3
dan bilangan buku Tania = y.
Let the number of Rania’s books = x = 16 + 3
and the number of Tania’s books = y. = 19
x = 2y + 3 .................... a
x + y = 27 .................... b Rania mempunyai 19 buah buku dan Tania
mempunyai 8 buah buku.
Gantikan a ke dalam b.
Rania has 19 books and Tania has 8 books.
Substitute a into b.
2y + 3 + y = 27
3y = 27 – 3
3y = 24
y = 8

Mahir KBAT!
KANDUNGAN

1. Rajah di bawah menunjukkan promosi novel dan buku akademik di Kedai Buku WondeRead.
The diagram shows the promotion of novels and academic books at WondeRead Bookstore.
Novel Buku Akademik
Beli 3 Percuma 1 Academic book
dengan setiap satu RMx Bukan ahli / Non-member: RMy
Buy 3 Free 1 Ahli: Diskaun 20%
with RMx each Member: 20% discount

Shakti yang bukan ahli kedai buku itu membayar RM75 untuk 4 buah novel dan sebuah buku akademik manakala Yazid
yang merupakan ahli membayar RM150 untuk 2 buah novel dan 5 buah buku akademik. Apakah nilai x dan nilai y?
Shakti who is a non-member of the bookstore paid RM75 for 4 novels and an academic book whereas Yazid who is a member paid
RM150 for 2 novels and 5 academic books. What is the value of x and of y?
Jumlah kos bagi pembelian Shakti
Total cost of Shakti’s purchase Beli 3 Percuma 1 iaitu jumlah 4 novel
3x + y = 75 ……………… a Buy 3 Free 1, i.e. total 4 novels
Harga buku akademik selepas diskaun a × 2: 6x + 2y = 150 .................. c
Selling price of an academic book after discount c – b: 5x + 0 = 75
= (100% – 20%) × y x = 15
= 80% × y Gantikan x = 15 ke dalam a.
80 Substitute x = 15 into a.
= y
100
4
= y 3(15) + y = 75
5 45 + y = 75
Jumlah kos bagi pembelian Yazid y = 75 – 45
Total cost of Yazid’s purchase = 30
1 2
4
2x + 5 5 y ........................... = 150
2x + 4y .................................. = 150
x + 2y = 75 .......................... b

47 © Penerbitan Pelangi Sdn. Bhd.