 Hello and welcome to the session. In this session we will discuss a question which says that Nancy goes for a spa treatment. The cost of spa treatment is $75 plus 6.75 percent tax. She also gives 8 percent tip. Is $85 sufficient to cover the total cost? Now before starting the solution of this question we should know some results. First is we can find the tip by using the formula that is tip is equal to 5 percent into amount. Also we can find the sales tax by using the formula sales tax is equal to tax percent into amount. Now these results will work out as a key idea for solving out the given question. Now let us start with the solution of the given question. Now in this question first of all we will find the total cost in spa treatment by Nancy. Now given tax percent is equal to 6.75 percent cost of spa treatment is equal to $75 so $75 will be the amount. Now here we will calculate the tax by using this formula which is given in the key idea. Now tax is equal to tax percent that is 6.75 percent into amount which is $75. Further this is equal to 6.75 upon 100 into 75. Now changing decimals to fraction this is equal to 6.75 upon 100 into 100 and this whole into 75. Now 25 into 3 is 75 and 25 into 4 is 100 also 25 into 27 is 675 and 25 into 4 is 100. So this is equal to 27 into 3 upon 4 into 4 which is equal to 81 upon 16 and this is equal to 5.0625. Therefore same tax is equal to $5.06. Now according to the question she also gives 8 percent tick so given tick percent is equal to 8 percent. Now we will use the first result which is given in the key idea to find the tick. Now we know that amount is $75 so tick will be equal to 8 percent of $75 which is equal to 8 upon 100 into 75 and this is equal to now 25 into 3 is 75 and 25 into 4 is 100. 4 into 2 is 8 so this is equal to 6 so we have tick is equal to $6. Now total cost for spot treatment is equal to the cost price plus same tax plus tick so this is equal to $75 plus $5.06 plus $6 and this is equal to $86.06 so the total cost for spot treatment is $86.06 also it is asked that is $85 sufficient to cover the total cost. Now the total cost for spot treatment is $86.06 which is greater than $85 therefore $85 is not sufficient to cover. The total cost since the total cost for the spot treatment is $86.06. So this is the solution of the given question and that's all for this session hope you all have enjoyed this session.