Print-shop prices and comparison

Core stretch

At a print shop, \(2\) bindings and \(30\) colour pages cost \(\$25\), while \(3\) bindings and \(20\) colour pages also cost \(\$25\).

1. Let \(b\) dollars be the price of one binding and \(c\) dollars be the price of one colour page.
   1. Form two equations connecting \(b\) and \(c\).[2]
   2. Hence, solve the equations obtained in (a)(i) to find the price of each item.[3]
2. An order contains \(4\) bindings and \(50\) colour pages. The customer may choose either a \(12\)% discount on the whole order or a \(\$5\) voucher. Which option saves more, and by how much? Explain your answer.[3]