nancy wants to vacation in austin texas. Hotel A charges $179 per night with a 14% nightly room tax and free parking. Hotel B charges $169 per night with 18% nightly room tax plus a one time $40 parking fee. After how many nights will Hotel B be less expesnsive?

Respuesta :

The number of nights will be 8.62 when the Hotel B charge is less than A.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that hotel, A charges $179 per night with a 14% nightly room tax and free parking. Hotel B charges $169 per night with 18% nightly room tax plus a one-time $40 parking fee. The number of the nights will be calculated as below:-

From the given data from the equations:-

A = 179 + ( 0.14 x 179 ) x

A = 204.06x

B = ( 169 + ( 0.18 x 169 )x + 40

B = 199.42x + 40

Equate the two equations:-

204.06x = 199.42x + 40

4.64x = 40

x = 40 / 4.64

x = 8.62 nights

Therefore, the number of nights will be 8.62 when the Hotel B charge is less than A.

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