Respuesta :
Answer:
[tex] x= 30.29 (1-0.223) = 23.54[/tex]
Ephraim paid a 22.3% tip, what was his bill before adding the tip?
23.54
Step-by-step explanation:
For this case we assume the following notation:
[tex] T= 30.29[/tex] represent the total paid for the dinner
x represent the amount before adding the tip
f =0.223 represent the fraction of the total amount destined to the tip
Based on this we can create the following relationship between T and x:
[tex] T = f*T + (1-f)T = f*T + x[/tex]
And we can solve for x from the previous equation like this:
[tex] x = T - f*T[/tex]
Taking T common factor we got:
[tex] x = T (1-f)[/tex]
And if we replace we got:
[tex] x= 30.29 (1-0.223) = 23.54[/tex]
And the amount destined to the tip would be [tex] fT = 0.223*30.29=6.75[/tex]
And if we add the two values we see that:
23.54+6.75 = 30.29 representing the total cost.
So then the correct answer for the question:
Ephraim paid a 22.3% tip, what was his bill before adding the tip?
23.54
Percentages express a fraction of an amount multiplied by 100, such that
the amount of the percentage is per 100 of the denominator.
- The bill before adding the tip is $23.53533
Reasons:
The given total bill for the dinner = $30.29
Percentage Ephraim paid as tip = 22.3%
Required: The bill amount before adding the tip
Solution:
The amount Ephraim paid as tip = 22.3% of the total bill
Therefore;
The tip = 22.3%×30.29 = 6.75467
The bill amount before the tip = Total bill - Tip
Therefore;
The bill amount before the tip = 30.29 - 6.75467 = 23.53533
The bill before adding the tip = $23.53533
Learn more about percentages here:
https://brainly.com/question/1600371
