Camille took a friend for a birthday dinner. The total bill for dinner was $39.84 (including tax and a tip). If Camille paid a 21.4% tip, what was her bill before adding the tip?(Round your answer to the nearest cent.)
Question
Camille took a friend for a birthday dinner. The total bill for dinner was $39.84 (including tax and a tip). If Camille paid a 21.4% tip, what was her bill before adding the tip?(Round your answer to the nearest cent.)
Solution 1
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 21.4% of the original bill as the tip. This means the total bill is 121.4% of the original bill.
- First, convert the percentage to a decimal by dividing by 100. So, 121.4% becomes 1.214.
- Next, divide the total bill by this decimal to find the original bill. So, 32.81 approximately.
So, the bill before adding the tip was approximately $32.81.
Solution 2
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 21.4% of the original bill as the tip. This means the total bill is 121.4% of the original bill.
- First, convert the percentage to a decimal by dividing by 100. So, 121.4% becomes 1.214.
- Next, divide the total bill by this decimal to find the original bill. So, 32.81 approximately.
So, the bill before adding the tip was approximately $32.81.
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