15 % of bill amount is Hannah's tip
Solution:
Given that,
The first table she served on a Monday paid her $81.65
The bill amount was $71.00 and the rest was Hannah's tip
To find: percentage of bill that was Hannah's tip
Total amount paid along with tip = 81.65
Bill amount without tip = $ 71
Thus tip amount is given as:
Tip amount = Total amount paid along with tip - Bill amount without tip
Tip amount = 81.65 - 71
Tip amount = 10.65
Let "x" be the percentage of tip amount
Therefore, we can say,
x % of 71 = 10.65
[tex]\frac{x}{100} \times 71 = 10.65\\\\x = \frac{10.65 \times 100}{71}\\\\x = 15[/tex]
Thus 15 % of bill amount is Hannah's tip
