Question

Cherry is booking a 3-night stay at a hotel. The rate is $45 per room plus tax.

Answer 1

Answer:

The lodging cost of the room is $ 41.28

Step-by-step explanation:

Given as :

The rate of room including taxes = $ 45

The state tax = 6 %

The city tax = 2 %

The municipal tax = 1 %

So, The total tax = 6 % + 2 % + 1 % = 9 %

Let The lodging cost  = $ x

So,  According to question

x + 9 % of x = $ 45

Or, x + 0.09 × x = 45

Or, 1.09 × x = 45

∴ x = $\frac{45}{1.09}$ = $ 41.28

Hence The lodging cost of the room is $ 41.28   Answer