SOLUTION: A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 higher than in the first. The tax in the first city was 7.5% , and

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Question 940579: A theater group made appearances in two cities. The hotel charge before tax in the second city was
$1500
higher than in the first. The tax in the first city was
7.5%
, and the tax in the second city was
4%
. The total hotel tax paid for the two cities was
$548.75
. How much was the hotel charge in each city before tax?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
total tax paid=$548.75
tax on higher portion of bill in second city =.04 x $1500=$60
Tax on equal expenses in both cities=$548.75-$60=$488.75
percentage of tax for first city=7.5/11.5x100%=65.22%
First city share of taxes on equal expenses=(.6522)$488.75=$318.75
second city share of taxes on equal expenses=$488.75-$318.67=$170.00
Total tax to second city $170.00 + $60.00=$230.00
total taxed in city DISABLED_event_one= City 1 taxes/tax rate=$318.75/.075=$4250
total taxed in city 2=City 2 taxes/tax rate=$230.00/.04=$5750
Amount before tax City 1=$4250
Amount before tax City 2=$5750
CHECK:
Charge before tax in city 2 was $1500 higher
City 2 amount-City 1 amount=$1500
$5750-$4250=$1500
$1500=$1500