the inn's nightly cost

Question

Including a 6 %

sales? tax, an inn charges $ 159

per night. Find the? inn's nightly cost before the tax is added.

Answer 1

Let x = inn's nightly cost before tax

 

Translate:

  "Including a 6 % sales? tax, an inn charges $ 159 per night."     means

       (x + (6/100)x)                              =           159       

  [note: We can use 6% or 6/100 or 0.06 as needed]

 

Re-write:

       (x + (6/100)x) = 159

       (106/100)x = 159              [Associative Principle]

             x  = 150                  [multiply both sides by 100/106]

The inn charges $150 per night plus tax.