SOLUTION: You go out to dinner in a party of eight, and the restaurant automatically adds a 18% gratuity to the check. The total amount of the check, with the added gratuity, is $ 219.83. H

Algebra ->  Equations -> SOLUTION: You go out to dinner in a party of eight, and the restaurant automatically adds a 18% gratuity to the check. The total amount of the check, with the added gratuity, is $ 219.83. H      Log On


   

Question 1195328: You go out to dinner in a party of eight, and the restaurant automatically adds a 18% gratuity to the check. The total amount of the check, with the added gratuity, is $ 219.83. How much was the gratuity?
A. $39.57
B. $33.53
C. $55.88
D. $48.79
E. $42.15
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
b, the bill without the gratuity, and seems to ignore taxes

b%2B0.18b=219.83
The gratuity is 0.18b.
.
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Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

You go out to dinner in a party of eight, and the restaurant automatically adds a 18% gratuity to the check. The total amount of the check, with the added gratuity, is $ 219.83. How much was the gratuity?
A. $39.57
B. $33.53
C. $55.88
D. $48.79
E. $42.15
With G as the amount of the gratuity, set up the following PROPORTION: 

                                                                       G = .09%28219.83%29%2F.59 ------ Cross-multiplying

                                                                       Solve for G, the gratuity!