BUSINESS HIGH SCHOOL

A theater group made appearances in two cities. The hotel charge before tax is the second city was $ 1000 higher than in the first. The tax in the first city was 8.5 % and the tax in the second city was 5.5 %. The total hotel tax paid for the two cities was $ 790 . How much was the hotel charge in each city before tax?

Answers

Answer 1
Answer:

Answer:

First city was= $ x = $ 5604

Second city was =$(x +1000) = $6604

Explanation:

The tax in the first city was 8.5%

The tax in the second city was 5.5%

Let the hotel charge amount before tax for the first city be $x

Let the hotel charge amount before tax for the second city be: $(x+1000)

Applying the tax

First city will be;

8.5/100*(x) = $0.085 x

Second city will be;

5.5/100* (x+100) =0.055(x+100) = $ (0.055x+5.5)

Total hotel tax paid for the two cities was ;

0.085 x + 0.055 x + 5.5 = $(0.14 x + 5.5)

This expression for total hotel tax paid for the two cities is equal to $790

$(0.14 x + 5.5) = $ 790

0.14 x = 790 -5.5

0.14 x = 784.5

x= 784.5/0.14

x=5603.57

x= $5604 ( nearest $)

Before tax, hotel charge for;

First city was= $ x = $ 5604

Second city was =$(x +1000) = $6604
Answer 2
Answer:

The group paid $ 5250 at first city and $ 6250 at second city

Solution:Let x = the charge in 1st city before taxesLet y = the charge in 2nd city before taxesThe hotel charge before tax in the  second city was $1000 higher than in the firstThen the charge at the second hotel before tax will be x + 1000y = x + 1000 ----- eqn 1The tax in the first city was 8.5% and the  tax in the second city was 5.5%The total hotel tax paid for the two cities was $790Therefore, a equation is framed as:8.5 % of x + 5.5 % of y = 7900.085x + 0.055y = 790 ------- eqn 2Let us solve eqn 1 and eqn 2Substitute eqn 1 in eqn 20.085x + 0.055(x + 1000) = 7900.085x + 0.055x + 55 = 7900.14x = 790 - 550.14x = 735x = 5250Substitute x = 5250 in eqn 1y = 5250 + 1000y = 6250Thus the group paid $ 5250 at first city and $ 6250 at second city

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Answers

Incomplete question. Here's the full text;

Cracked Mirror, a locally well-known rock group, contracts to play for your high school prom. A week before the dance, the group cancels its appearance. A teacher finds out that the band took the opportunity to perform in a concert that will pay them $800 more. The class president’s mother is an attorney and offers her services to the school.....In the question above, could you fashion an equitable remedy that might prompt Cracked Mirror to decide to keep its commitment to play at your prom? (Certain remedies that may come to mind could violate portions of the U.S. Constitution and therefore could not be pursued.)  

Explanation:

A good remedy that comes to mind is the equitable remedy of Specific performance. The remedy of Specific performance is usually issued by a court order requiring a party to perform a specific action, as obliged in a contract.

Thus, by suing Cracked Mirrorrock group to pay monetary damages for its failure to perform could prompt them to keep its commitment to play at your prom, especially when the damages involves a significant amount.

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An equitable remedy that might encourage Cracked Mirror to keep its commitment to play at your prom is to pursue specific performance. Specific performance is an equitable remedy in contract law, where a party can seek a court order requiring the other party to fulfill their obligations as promised. In this case, you could file a lawsuit seeking specific performance, asking the court to order Cracked Mirror to honor their commitment to play at your prom.

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It's important to consult with a lawyer to assess the feasibility and effectiveness of seeking specific performance in your specific situation. They can provide guidance on the legal process and help you evaluate other possible remedies or courses of action.

Learn more about equitable remedy here:

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  A positive performance review motivates the employee to keep on the good working while the negative one helps him or her to evaluate the mistakes and correct them.
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