Sevag K. answered • 02/12/15

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Engineer, will help you understand Math, and Physics

lets assume:

x is charge of first hotel before tax

x + 500 is charge of second hotel before tax

then

0.06 * x is tax paid in first city

0.08 * (x+500) is tax paid in second city

0.06x + 0.08(x+500) = 810 is total tax paid in two cities

solve to find x ( first hotel charge before tax)

0.06x + 0.08 x + 0.08 * 500 = 810 ----> 0.14x = 810 - 40 ----> x = 770/0.14 then

x = $5500 charge of first hotel before tax

5500 + 500 = $6000 charge of second hotel before tax

Best