Stan took lily to his friends 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 original bill B

? ( b - ?) = ?

1 answer

To solve this problem, we can start by establishing the known values.

  1. The original dessert price that was removed from the bill is $12.
  2. The tip that Stan left was $15.
  3. Stan tipped 20% on the reduced bill.

Let's denote the original bill as \( B \). After removing the $12 dessert, the reduced bill is \( B - 12 \).

The tip of $15 is 20% of the reduced bill. Thus, we can write this as:

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

To fill in the blanks in the equation format you provided:

? ( b - ?) = ?

We can rearrange our equation into that format:

So, if we let the first blank be \( 0.20 \), the second blank be \( 12 \), and the third blank be \( 15 \):

\[ 0.20 (B - 12) = 15 \]

Thus, the filled equation is:

0.20 ( B - 12 ) = 15.