The hotel charge in city one is $767 and the hotel charge in city two is $2276.
Let x = the charge in 1st city before taxes and
Let y = the charge in 2nd city before taxes
The equation before taxes:
y = x ₊ 1500 ..eq(1)
The equation for total tax paid:
0.075x ₊ 0.055y = 700 ..eq(2)
Substitute equation 1 that is y value in equation 2.
0.075x ₊ 0.055(x₊1500) = 700
0.075x ₊ 0.055x ₊ 82.5 = 700
add the variables and subtract the constants.
0.805x = 700 ₋ 82.5
0.805x = 617.5
x = 617.5/0.805
x = 767
now substitute x value in equation 1.
y = 767 ₊ 1500
y = 2267
Hence the hotel charge before the tax in the first city was $767 and in the second city was $2267.
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