You and your family go to dinner at a local restaurant in Rexburg, Idaho and your online banking report shows that the total dinner bill (fo
Question
You and your family go to dinner at a local restaurant in Rexburg, Idaho and your online banking report shows that the total dinner bill (food, tax, and tip) was for $33. Suppose that you did not keep your receipt, but you remember you paid a 15% tip for the service. What was your bill prior to calculating the tip (that is, for food and tax only)?
in progress
0
Math
3 months
2022-02-10T14:27:47+00:00
2022-02-10T14:27:47+00:00 1 Answer
0 views
0
Answers ( )
Answer:
$28.7
Step-by-step explanation:
From the date given, the total cost of the bill(food+tax+tip)=$33.
let express the above in mathematical form,
food=f,
tax=t,
tip=x
hence f+t+x=$33
let f+t=y (y=bill for food and tax)
hence
x+y=$33…….equation 1
since the tip paid is 15% of the total bill, hence
x=15%(y)——-equation 2
if we substitute equation 2 into equation 1 we arrive at
15%y+y=$33
0.15y+y=$33
1.15y=$33
y=33/1.15
y=$28.7
Hence the bill for the food and tax only is $28.7