## 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)?

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3 months
2022-02-10T14:27:47+00:00
2022-02-10T14:27:47+00:00 1 Answer
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## 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