(a(i))[1]
If apples are priced at $x$ per kilogram and oranges at $y$ per kilogram, the cost of $5\text{ kg}$ of apples plus $10\text{ kg}$ of oranges is $\$40$. Show that $x + 2y = 8$.
(a(ii))[4]
The combined cost of $4\text{ kg}$ of apples and $3\text{ kg}$ of oranges is $\$19$. Use simultaneous equations to find the cost of $1\text{ kg}$ of apples and $1\text{ kg}$ of oranges.
(b)[3]
Solve the inequality $-8 < 4(x - 3) < 7$.
(c)[6]
Solve $\frac{4}{x - 1} + \frac{2}{2x + 3} = 1$. Give your answers to $2$ decimal places.