Algebra 1

A theater group made appearances in two countries. The hotel charges before tax in the second country were $500 lower than in the first. The tax on the hotel bill was 5.5% in the first country and 4.5%in the second. After the trip, the total tax paid on accommodation expenses was $477.50 . How much was the hotel bill in the first country before tax?

  1. 👍 0
  2. 👎 0
  3. 👁 85
asked by Emily
  1. 1ST Country:
    Charges before taxes = $X.
    Taxes = $0.055X.

    2nd Country:
    Before taxes = (X-$500).
    Taxes = (0.045(X-500).

    Taxes = 0.055x + 0.045(x-500) = 477.50,
    =.055x + 0.045x - 22.5 = 477.50,
    0.1x = 477.50 + 22.50 = 500,
    X = $5000 Before taxes in 1st country.

    1. 👍 0
    2. 👎 0
    posted by Henry

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra 1

    A theater group made appearances in two countries. The hotel charges before tax in the second country were $500 lower than in the first. The tax on the hotel bill was 5.5% in the first country and 4.5%in the second. After the

    asked by Emily on July 9, 2011
  2. math

    A theater group made appearances in two states. The hotel charges before tax in the second state were $1000 lower than in the first. The tax on the hotel bill was 4% in the first state and 9% in the second. After the trip, the

    asked by Anonymous on November 18, 2009
  3. Algebra

    A theater group made appearances in two cities. The hotel charges before tax in the second city were $1,000 lower than in the first. The tax on the hotel bill was 5% in the first city and 4% in the second. After the trip, the

    asked by Jessica on January 27, 2011
  4. math

    A theater group made appearances in two cities. The hotel charges before tax in the second city were lower than in the first. The tax on the hotel bill was in the first city and in the second. After the trip, the total tax paid on

    asked by Grace on June 26, 2010
  5. algebra

    A theater group made appearances in two cities. The hotel charges before tax in the second city were lower than in the first. The tax on the hotel bill was in the first city and in the second. After the trip, the total tax paid on

    asked by Anonymous on May 12, 2010
  6. math

    A theater group made appearances in two cities. The hotel charges before tax in the second city were 1500 lower than in the first. The tax on the hotel bill was 5.5% in the first city and 10% in the second. After the trip, the

    asked by Chopsticks on September 17, 2009
  7. math

    A theater group made appearances in two cities. The hotel charge before tax in the second city was $500 lower than in the first. The tax in the first city was 6%, and the tax in the second city was 4.5% The total hotel tax paid

    asked by jazmine on July 11, 2016
  8. Math

    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 4% , and the tax in the second city was 7% . The total hotel tax paid

    asked by jess on April 1, 2013
  9. Math 0098

    A theater group made appearances in two cities. The hotel charge before tax in the second city was $1000 lower than in the first. The tax in the first city was 5.5% , and the tax in the second city was 5%. The total hotel tax paid

    asked by Anonymous on March 7, 2013
  10. 7th grade math

    Aaron is staying at a hotel that charges $99.95 per night plus tax for a room. A tax of 8% is applied to the room rate, and an additional one-time untaxed fee of $5.00 is charged by the hotel. Which of the following represents

    asked by Alexis on September 8, 2017

More Similar Questions