Question 356970
Let x = hotel charges before taxes in 1st city.  Then x + 1500 = hotel charges before taxes in 2nd city.
Then {{{0.095x + 0.06(x+1500) = 826.25}}},
{{{0.095x+0.06x+90 =826.25}}},
{{{736.25 = 0.155x}}},
{{{x = 4750}}}.