Stan took Lily to his friend’s restaurant on a date. The friend told the waiter to remove the $12 dessert from Stan’s bill. Stan tipped the waiter 20% on the reduced bill, which was a $15 tip. Fill in the blanks to write an equation that will determine the amount of the original bill, b

Question

.(2 points)
(b −
) =

Answer 1

To find the original bill \( b \), we can set up an equation based on the information provided:

1. The dessert price of $12 was removed from the initial bill, so the reduced bill would be \( b - 12 \).
2. Stan tipped 20% on this reduced bill, which resulted in a $15 tip.

The equation for the tip can be written as:

\[ 0.20 \times (b - 12) = 15 \]

To simplify, we can fill in the blanks as follows:

\[ (b - 12) = \frac{15}{0.20} \]

So the equation you're looking for is:

\[ (b - 12) = 75 \]

Thus, \( b - 12 = 75 \) represents the relationship needed to determine the original bill \( b \).