A theater group made appearances in two cities. The hotel charges before tax in the second city were lower than in the first. The tax on the hotel bill was in the first city and in the second. After the trip, the total tax paid on accommodation expenses was . How much was the hotel bill in the first city before tax?
No figures are given to allow a solution.
To find the hotel bill in the first city before tax, we need to use the information given.
Let's assume the hotel bill before tax in the first city is x.
The tax on the hotel bill in the first city is k.
Therefore, the hotel bill in the first city including tax would be x + k.
Given that the tax on the hotel bill in the second city is l and the total tax paid on accommodation expenses was t, we can set up the following equation:
k + l = t
From the information given, we also know that the hotel charges before tax in the second city were lower than in the first city.
Let's assume the hotel bill before tax in the second city is y.
Therefore, the hotel bill in the second city including tax would be y + l.
According to the given information, the total tax paid on accommodation expenses was t.
Therefore, we can set up the following equation:
k + l = t
Using these equations, we can solve for x (the hotel bill in the first city before tax).
Since the tax on the hotel bill in the first city is k, we can substitute k = t - l into the equation k + l = t:
(t - l) + l = t
Simplifying, we find:
t - l + l = t
t = t
This equation shows that any value of t will satisfy the equation. Therefore, we cannot determine the exact value of x (the hotel bill in the first city before tax) with the information provided.