Once Ashley and Dylan arrive in Mathingham, England they want to buy tickets to some of the events at the Games. Below are some of the prices for the events:
Answer the following questions in pounds. There is no need to convert them to Australian dollars.
1.How much would ' $M$ ' tickets to the Cycling cost?
$35 \times 6$ -1210
[1 mark]
2. What would be the total cost of ' $N$ ' tickets to the Hockey and ' $M$ tickets to the Netball?
[1 mark]
$\begin{aligned} 30 x> & =210+8 \times 6 \\ & =258\end{aligned}$
3. How much change should Ashley's friend Katrina expect when she hands over 350 pounds for as many Netball tickets as she can afford?
4. (Extension) Dylan runs into his cousin Richie who has 500 pounds to spend. Richie wants to go to every event and wishes to purchase extra tickets for his friends. Richie wants to make sure that all his 500 pounds is spent, leaving no change. Write down the quantity of each ticket type that he could buy in the table on the following page.
[2 marks]
Answer
\(500 = (x \times 35) + (y \times 30) + (z \times 8)\)
Step 1 ：\(M \times 35\)
Step 2 ：\((N \times 30) + (M \times 8)\)
Step 3 ：\(350 - (\lfloor\frac{350}{8}\rfloor \times 8)\)
Step 4 ：\(500 = (x \times 35) + (y \times 30) + (z \times 8)\)
