(a)[3]
Each orange costs 21 cents. Alex purchases $x$ oranges and Bobbie purchases $(x+2)$ oranges. Altogether, these oranges cost $\$4.20$. Find $x$.
(b)[5]
Let $r$ be the cost of one ruler in cents. Let $p$ be the cost of one protractor in cents. Five rulers and 1 protractor cost 245 cents in total. Two rulers and 3 protractors cost 215 cents in total. Form two equations in $r$ and $p$, then solve them to determine the cost of one protractor.
(c(i))[3]
Form an equation in $x$, and show that it reduces to $5x^2 - 23x + 12 = 0$.
(c(ii))[2]
Factorise $5x^2-23x+12$.
(c(iii))[1]
Solve $5x^2-23x+12=0$.
(c(iv))[1]
State Carol’s walking speed for the last 6 km.