SOLUTION: A couple does not wish to spend more than $70 for dinner at a restaurant. If a sales tax of 5% is added to the bill and they plan to tip 20% after the tax has been added, what is t

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A couple does not wish to spend more than $70 for dinner at a restaurant. If a sales tax of 5% is added to the bill and they plan to tip 20% after the tax has been added, what is t      Log On


   



Question 988664: A couple does not wish to spend more than $70 for dinner at a restaurant. If a sales tax of 5% is added to the bill and they plan to tip 20% after the tax has been added, what is the most they can spend for the meal? (Round your answer to the nearest cent.)

Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+70+=+%28+x+%2B+.05x+%29%2A1.2+
+70+=+1.05x%2A1.2+
+70+=+1.26x+
+x+=+55.56+
The most they can spend before
tax and tip is $55.56

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
A couple does not wish to spend more than $70 for dinner at a restaurant. If a sales tax of 5% is added to the bill and they plan to tip 20% after the tax has been added, what is the most they can spend for the meal? (Round your answer to the nearest cent.)
Let the cost of meal, excluding tax and tip, be B
Then bill, including tax = 1.05B
Therefore, we get: 1.2%281.05B%29+%3C=+70
1.26B+%3C=+70
Excluding tax and tip, cost of meal, or B+%3C=+70%2F1.26, or highlight_green%28B+%3C=+%22%24%2255.56%29