Anonamy wrote:

Country X imposes a fixed tourist tax of T dollars that adds to a daily hotel fee. Harry spends three nights in three different hotels in country X: the Savoy, the Futurama and the Mitz. If a night in the Mitz hotel (excluding tax) costs twice as much as a night in the Futurama hotel (excluding tax), then a night in the Savoy hotel (excluding tax) costs how many dollars?

(1) Harry pays a total of 560 dollars (including tax) for the night at the Mitz hotel and the night at the Savoy hotel.

(2) For the night in the Futurama hotel he pays 160 dollars (including tax.)

Let the cost per night at Futurama hotel be x

There cost at Mitz hotel =2x

Stmt1: 2x+ Cost at Savoy + Tax =560 (insuff)

Stm2: x + Tax =160 ( Insuff)

Combining

x= 160- Tax

So 2( 160-Tax) + Cost at Savoy + Tax = 560

Cost at Savoy = 240 + Tax

Answer: C.