Simultaneous Equations - Application of Simultaneous Equations in Real World Contexts

A shop sells paint in small tins containing \(2\) litres each and large tins containing \(7\) litres each. A customer buys \(x\) small tins and \(y\) large tins containing a total of \(101\) litres of paint.

1. Form an equation in \(x\) and \(y\) to represent the total volume of paint.

   [1]

The customer buys \(23\) tins altogether.

2. Form another equation in \(x\) and \(y\), and hence find the number of small tins and large tins bought.

   [4]