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?

You've omitted some vital information.

To find the hotel bill in the first city before tax, we can use the given information. Let's assume the hotel bill before tax in the first city is "x".

We know that the hotel charges before tax in the second city were lower than in the first city. Therefore, the hotel bill before tax in the second city would be less than "x".

The tax on the hotel bill in the first city is given as "y", and the tax on the hotel bill in the second city is given as "z".

After the trip, the total tax paid on accommodation expenses was given as "t".

We can set up the following equation using the given information:

x * y + (x - (x - y)) * z = t

Simplifying the equation:

x * y + (x - x + y) * z = t

xy + yz = t

Now we know that "xy + yz = t". We can substitute the given values to find the value of "x".

Let's assume the total tax paid on accommodation expenses, "t", is represented by the value "a".

xy + yz = t

x * + y * = a

Substituting the given values:

a * y + y * z = a

y(a + z) = a

Now we can solve the equation for "x":

x = a / (a + z)

Therefore, the hotel bill in the first city before tax is "a / (a + z)".