Question

Theater group made appearances in two cities the hotel charge tax in the second city was $1000 lower in the first the tax in the first city was 9% and the tax in the second city was 3.5% the total hotel tax paid for the two cities was $558.75 how much was the hotel George in each city before tax

Answer 1

Let x be the amount of money ion the teartre city and 1000-x be the amont in the second city.

Given that the tax of first city was 9% and tax of second city was 3.5%.

Then, the equation for total tax becomes,

`\begin{gathered} x*(9)/(100)+(1000-x)*(3.5)/(100)=558.75 \\ 9x+3500-3.5x=55875 \\ 5.5x=52375 \\ x=9522.7 \end{gathered}`