Mrs. Torres goes out of town on a business trip. She spends 3 nights in a hotel at a charge of $80 per night. She pays 9% tax on the room and tips the maid service 10% of the room charge. Mrs. Torres also has meals worth $109.30 before tax and she tips 15%. If the total cost of her trip is $420.04, approximately what tax rate does Mrs. Torres pay on her meals

Mrs Torres pay tax for the meals at the rate of 20%

Explanation:

The daily cost of the hotel room=80$

Total nights spent at hotel=3

Tax on the room=9%

Tip for the maid=10% of the room charge= 10/100*80= 8$

Cost of meal=109.30$

Tip paid =15%

The total cost of the trip=420.04$

Tx charged to Mrs Torres on the meal

Total tax charged on the room= 9/100*(total room charge)

Total room charge= 80*3=240$

Total tax charged on the room=9/100*240=21.6$

Hence the total cost accrued to Mrs Torres=240$+21.6$=261.6$

She paid maid a tip of 10%(8$)

Hence total charge= 261.6+8=269.6$

Let the tax charged at meal be c%

Hence total meal charges=

c/100*109.3+109.30

After this, she paid a tip of 15%

Hence total charge accrued to Mrs Torres would be (c/100*109.3+109.30)+.15*(c/100*109.3+109.30)

It is given that Mrs Torres paid 420.04$ as total bill

Hence (c/100*109.3+109.30)+.15*(c/100*109.3+109.30)=420.04$

Solving for "c" we get it to be as 20%

How to Solve such complex equations- Since the  equation seems to be complex and lengthy

Simply assume any value of "c" and see if it satisfies the equation

Assuming the value of "c" to be 20%- the equation is satisfied. hence the tax at meals was 20%

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