At a restaurant, I was given a bill for $95.11 that included a 15% gratuity. I wanted to leave a 20% tip instead of the 15% tip already included. How much should I add to the bill?

Solution to the Problem: I should add $4.13 to the bill of $95.11 for a total of $99.24. Let x = original bill without the 15% gratuity. Then x + .15x = 95.11 Therefore, x = $82.70 (the price for the food) 20% of $82.70 = $16.54 15% of $82.70 = $12.41 Subtracting, you get $4.13

Correctly solved by: