Simultaneous Equations - Application of Simultaneous Equations in Real World Contexts

Tickets for a school performance are sold at \(\$1.50\) for a child and \(\$2.40\) for an adult.
On one evening, \(x\) child tickets and \(y\) adult tickets were sold, collecting a total of \(\$165.60\).

1. Form an equation in \(x\) and \(y\), and show that it reduces to \(5x+8y=552\).

   [1]

A total of \(84\) tickets were sold that evening.

2. Form another equation and hence determine the number of child tickets and adult tickets sold.

   [4]