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 .(2 points)

Question

(b −
) =

Answer 1

Let's denote the original bill as \( b \).

Since the dessert costs $12 and it was removed, the reduced bill would be \( b - 12 \).

Stan tipped the waiter 20% of the reduced bill, and we know that this tip was $15. We can express this mathematically as:

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

To write it in the form \( (b - ___) = ___ \), we can start by solving for \( (b - 12) \) from the equation above.

First, we multiply both sides of the equation by 5 to eliminate the decimal:

\[ b - 12 = 75 \]

Thus, we can rewrite it in the desired format:

\[ (b - 12) = 75 \]

So, to fill in the blanks:

(b − 12) = 75

Answer 2

there is also a blank sace before the B that needs a nuber. and 75 isnt correct

Answer 3

Let's break it down step by step to correctly find the equation and fill in the necessary blanks.

1. Understanding the Tip: We know that the tip Stan left was 20% of the reduced bill after the $12 dessert was removed, and this tip amounted to $15.

2. Tip Calculation: From the information given, we have:

   \[ \text{Tip} = 0.20 \times \text{(Reduced Bill)} \]

   The reduced bill after removing the dessert is:

   \[ \text{Reduced Bill} = b - 12 \]

3. Setting Up the Equation: Since the tip is $15:

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

   We can solve for \(b - 12\):

   \[ b - 12 = \frac{15}{0.20} = 75 \]

   This leads us to:

   \[ b - 12 = 75 \]

4. Determining the Original Bill: Now we rearrange this to find:

   \[ b = 75 + 12 \] \[ b = 87 \]

5. Final Equation: To write it in the format \( b - __ = __ \), we consider \( b - 12 = 75 \).

Since you mentioned there is also a blank space before \(b\), from the context, it appears that you may want the total reduced amount or another specific number. Therefore, let's investigate how to represent it:

Completing the Equation

So, if we want to highlight the full equation with respect to the tip and the discount:

We can represent \(b\) as:

1. Original bill: \(87\)
2. Reduced bill: \(87 - 12 = 75\)

Thus, completing the formula as follows:

\[ (b - 12) = 75 \]

However, if we need to place a numeral in the space before \(b\):

Since \(b\) made the total exactly \(87\), a prior blank could represent that related to total:

Thus:

For the final form: \[ (87 - 12) = 75 \]

In equation format:

If it is: From the original assumptions:

If we fill blanks:

• For the space before \(b\), we can consider **87 (the total original bill), and for what remains, we still have:

Thus:

Final answer to fill in blanks:

(b - 12) = 75 (where the amount is $75) and before the space is 87 (the total bill).

Ultimately, returning to your original place:

Reformed as a complete: For each blank: 87 - 12 = 75.

This restores emphasis on slots:

(b - 12) = 75 (with consideration for more explanation).

If further clarification on either items is needed, feel free to ask!