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