
Doug C. answered 11/08/24
Math Tutor with Reputation to make difficult concepts understandable
Let x = original cost of the meal
The 10% tip was calculated AFTER the tax of 7.7% was added to the bill.
So the cost of the meal was x + 0.077x = 1.077x
If we take 10% of that expression we have the amount of tip.
0.10 (1.077x) = 1.10
1.077x = 1.1 / .1
1.077x = 11
x = 11/1.077 ≈ $10.21
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