SOLUTION: A 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 5.5% , and the tax i

Algebra ->  Finance -> SOLUTION: A 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 5.5% , and the tax i      Log On


   



Question 1025525: A 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 5.5% , and the tax in the second city was 7.5% . The total hotel tax paid for the two cities was $570 . How much was the hotel charge in each city before tax?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = hotel charge before tax in 1st city
+x+-+1500+ = hotel charge before tax in 2nd city
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+.055x+%2B+.075%2A%28+x+-+1500+%29+=+570+
+.055x+%2B+.075x+-+112.5+=+570+
+.13x+=+682.5+
+x+=+5250+
+x+-+1500+=+3750+
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$5250 = hotel charge before tax in 1st city
$3750 = hotel charge before tax in 2nd city
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check answer:
+.055x+%2B+.075%2A%28+x+-+1500+%29+=+570+
+.055%2A5250+%2B+.075%2A3750+=+570+
+288.75+%2B+281.25+=+570+
+570+=+570+
OK