Atheater group made appearances in two cities. the hotel charge before tax in the second city was $500 lower than in the first. the tax in the first city was 3.5% , and the tax in the second city was 7.5% . the total hotel tax paid for the two cities was $347.50 . how much was the hotel charge in each city before tax?

Is pretty much the same as before, so without much fuss

a = charges before tax on first city

b = charges before tax on second city

how much is 3.5% of a?   (3.5/100) * a, 0.035a.

how much is 7.5% of b?  (7.5/100) * b, 0.075b.

the taxes for both cities, summed up to 347.50

so, 0.035a + 0.75b = 347.50

we also know that, whatever "a" may be, the second city charged $500 less, so b = a - 500.



how much did the second city charge?  well, b = a - 500.

hope it is correct if not i'm srry i tried to