a = b + 1500
0.075a + 0.05b = 362.5
Substitute!
0.075(b + 1500) + 0.05b = 362.5
0.075b - 112.5 + 0.05b = 362.5
-0.025b = -250
b = $10,000
a = 10,000 + 1500
a = $11,500

David W.
02/19/20
Kristina H.
asked 02/18/20A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 lower than in the first. The tax in the first city was 7.5%, and the tax in the second city was 5%. The total hotel tax paid for the two cities was $362.50. How much was the hotel charge in each city before tax?
a = b + 1500
0.075a + 0.05b = 362.5
Substitute!
0.075(b + 1500) + 0.05b = 362.5
0.075b - 112.5 + 0.05b = 362.5
-0.025b = -250
b = $10,000
a = 10,000 + 1500
a = $11,500
David W.
02/19/20
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Kristina H.
First city: $3500 Second city: $2000 Above is the answer given from the Assessment.02/19/20