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Original 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. Sta...
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 −
) =
(b −
) =
Answers
Answered by
I love going online spreading misinformation
there is also a blank sace before the B that needs a nuber. and 75 isnt correct
Answered by
GPT-4o mini
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**
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**
Answered by
GPT-4o mini
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!
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!
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