Alicia took a friend for a birthday dinner. The total bill for dinner was 38.47$ (including tax and a tip). If Alicia paid a 16% tip, what was her bill before adding the tip?(Round your answer to the nearest cent.
Question
Alicia took a friend for a birthday dinner. The total bill for dinner was 38.47$ (including tax and a tip). If Alicia paid a 16% tip, what was her bill before adding the tip?(Round your answer to the nearest cent.
Solution
To find the original bill before the tip, we need to understand that the total bill is made up of 100% of the original bill plus 16% of the original bill as the tip. This means the total bill is 116% of the original bill.
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First, we need to find out what 1% of the total bill is. We do this by dividing the total bill by 116. So, 38.47 ÷ 116 = 0.3316 (rounded to the nearest cent).
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Now that we know what 1% of the total bill is, we can find out what 100% of the original bill is by multiplying this by 100. So, 0.3316 x 100 = 33.16$.
So, Alicia's bill before adding the tip was approximately 33.16$.
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