The total cost of the books is
[tex]15.75\cdot 4 = 63[/tex]
The coupon takes 20% of the price away, so she pays the remaining 80%:
[tex]63\cdot 0.8=50.4[/tex]
And then she adds 8%, meaning that she pays 108% of this amount:
[tex]50.4\cdot 1.08=54.432[/tex]