Answer:
Explanation:
Let x be the hotel charge before tax in the first city. Then, the hotel charge before tax in the second city is x + 1000.
The tax paid in the first city is 9% of x, which is 0.09x. The tax paid in the second city is 8.5% of (x + 1000), which is 0.085(x + 1000).
The total tax paid for the two cities is $1047.50, so we can set up the following equation:
0.09x + 0.085(x + 1000) = 1047.50
Simplifying and solving for x, we get:
0.09x + 0.085x + 85 = 1047.50
0.175x = 962.50
x = 5500
Therefore, the hotel charge before tax in the first city is $5500, and the hotel charge before tax in the second city is $6500.
Note that these are just the charges before tax. To find the total cost including tax, we need to add the tax paid in each city to these amounts.
In the first city, the tax paid is 9% of $5500, which is $495. In the second city, the tax paid is 8.5% of $6500, which is $552.50.
So, the total cost including tax in the first city is $5995, and the total cost including tax in the second city is $7052.50.