Organising the school dance

This task is about writing and solving story problems.

Year 10 are organising a school dance. The DJ says he will charge $110 to set up his equipment and then $90 an hour (h). They have budgeted $470 to pay for the DJ.
 
a) i)
Write an expression or equation that describes the DJ's charges.
 
 
 
  ii)
Work out how long the DJ will play for if Year 10 have $470 to spend.
 
The DJ will play for __________ hours.
 
b)
Each ticket to the dance has a lucky number on it. Charlie multiplies their number by 4 and takes 1 off and gets an answer of 67.
 
  i)
Write an equation for this information. Use n to represent Charlie's lucky number.
 
 
 
  ii) Charlie's lucky number is __________.