Question

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)
(b −
) =

Answer 1

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

Answer 2

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 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!