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%