Question

A theater group made appearances in two cities. The hotel charge before tax in the second city was $1000 higher than in the first. The tax in the first city was 8%, and the tax in the second city was 3%. The total hotel tax paid for the two cities was $470. How much was the hotel charge in each city before tax? Note that the ALEKS graphing calculator can be used to make computations easier. First city: $ Second city: $

          A theater group made appearances in two cities. The hotel charge before tax in the second city was $1000 higher than in the first. The tax in the first city was 8%, and the tax in the second city was 3%. The total hotel tax paid for the two cities was $470. How much was the hotel charge in each city before tax?
Note that the ALEKS graphing calculator can be used to make computations easier.
First city: $
Second city: $
        
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A theater group made appearances in two cities. The hotel charge before tax in the second city was 1000 higher than in the first. The tax in the first city was 8%, and the tax in the second city was 3%. The total hotel tax paid for the two cities was $470. How much was the hotel charge in each city before tax?
Note that the ALEKS graphing calculator can be used to make computations easier.
First city:
Second city:

Added by Leslie C.

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Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
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A theater group made appearances in two cities. The hotel charge before tax in the second city was S1000 higher than in the first The tax in the first cty was 8%,and the tax in the second city was 3%. The total notel tax poid for the two cties was $470.How much was the hotel charge in each city before tax Note that the ALEKS graphing colcuator can be used to make computations casier First city: 3 Secondcity[]
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Transcript

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00:01 Okay, so i see that you need help with this question and it says the theater group made appearances in two cities.
00:06 The hotel charge before tax in the second city was $1 ,500 higher than the first.
00:14 Oops, i didn't mean to put an equal sign.
00:16 Plus $1 ,500 equals y.
00:20 So we're going to have y equal the second city and x equal the first.
00:26 And so it says the tax in the first city, so tax in first city is 4 .5 % and it was, so and then the total paid in taxes for both cities was total taxes paid for both cities was $708 .75.
00:58 How much was the hotel charge in each city before tax? so for this, um, you just didn't give what the tax rate was for the second city.
01:16 So say the tax, so this was the first city, say the tax for the second city was say 4 % because you wouldn't be able to figure this out if you didn't know what the tax rate was for the second city.
01:32 So you could do x plus 1500 equals y.
01:37 And then, um, you can take 0 .045 plus your 0 .04, cause that's your tax rate of your other city times, um, x plus 1500 equals the total of $708 .75...
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