Application of Simultaneous Equations in Real World Contexts

The cost of a cup of coffee and a cup of tea is \(\$x\) and \(\$y\) respectively. A customer bought two cups of coffee and three cups of tea at a total cost of \(\$3.80\). Another customer bought four cups of coffee and five cups of tea at a total cost of \(\$6.90\).

1. Write down \(2\) equations in terms of \(x\) and \(y\).
2. Hence, find the cost of a cup of coffee and a cup of tea.