**Question 2**:

Radziah bought (2

*x*– 17) dictionaries with the price of RM12

*x*each. She paid RM4 104 for all the dictionaries.

Calculate the number of dictionaries that she bought. [4 marks]

*Number of dictionaries = 2*

**Solution**:*x*– 17

*Total purchase = 4104*

12

*x*(2

*x*– 17) = 4104

*x*(2

*x*– 17) = 342

2

*x*

^{2}– 17

*x*– 342 = 0

(2

*x*+ 19)(

*x*– 18) = 0

$\begin{array}{l}x=-\frac{19}{2}\left(\text{rejected}\right)\text{or}x=18\\ \\ \text{Numberofdictionaries}=2x-17\\ \text{}=2\left(18\right)-17\\ \text{}=19\end{array}$

**Question 3**:

**Zul and his two friends went to a restaurant for a breakfast. Zul paid RM11 for a bowl of noodle and a glass of orange juice. Roy paid for 3 bowls of noodle and Vasu paid for 2 glasses of orange juice. The price difference between 3 bowls of noodle and 2 glasses of orange juice is RM7. The price of a bowl of noodle is higher than the price of a glass of orange juice.**

*Solving using matrix method is not allowed in this question.*

Calculate the price, in RM, of a bowl of noodles and a glass of orange juice. [6 marks]

*Payment by Zul = 11*

**Solution**:Payment by Roy – Payment by Vasu = 7

*x*= Price of 1 bowl of noodle

*y*= Price of 1 glass of orange juice

*x*+

*y*= 11 ………. (1)

3

*x*– 2

*y*= 7 ………. (2)

(1) × 2 : 2

*x*+ 2

*y*= 22

(2) + (3) : 5

*x*= 29

*x*= 5.80

From (1) : 5.80 +

*y*= 11

*y*= 5.20

Thus, Price of 1 bowl of noodle is RM 5.80, whereas price of rice of 1 glass of orange juice is RM 5.20.