Stan took Lily to his friend’s restaurant on a date. The friend told the waiter to remove the $12

Question

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, 6. (2 points)

[ e- (b-L) =
|

Answer 1

To set up the equation based on the scenario:

1. Let \( b \) be the original bill amount.
2. The dessert cost \( L = 12 \).
3. The restaurant friend removed the dessert from the bill, so the reduced bill will be \( b - L \) or \( b - 12 \).
4. Stan tipped 20% on the reduced bill, and we know the tip amount was \( 15 \).

The equation for the tip would be:

\[ 0.20(b - L) = 15 \]

Substituting \( L = 12 \) into the equation gives:

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

Now, we can fill in the blanks based on this setup:

• \( e = 0.20 \)
• \( b = b \)
• \( L = 12 \)

The equation can be expressed as:

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

So, filling in the blanks in the form \( e - (b - L) = | \) will not be appropriate since that does not represent the original calculation correctly. However, based on the above calculation, the main equation we arrive at should help you solve for \( b \):

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

To find \( b \) from this equation, solve for \( b \):

1. Divide both sides by \( 0.20 \): \[ b - 12 = \frac{15}{0.20} \]

2. Calculate \( \frac{15}{0.20} = 75 \): \[ b - 12 = 75 \]

3. Finally, add \( 12 \) to both sides: \[ b = 75 + 12 = 87 \]

Thus, the original bill was \( 87 \).

Answer 2

what is the answer

Answer 3

To determine the original bill amount, we need to plug in the values into the proper equation. Here’s the specific equation and its solution based on the scenario described:

1. Let:

   • \( b \) be the original bill amount.
   • \( L = 12 \) (the cost of the dessert).
   • Stan tipped \( 15 \).

2. The equation we derived is: \[ 0.20(b - 12) = 15 \]

3. Now, solve for \( b \):

   • First, divide both sides by \( 0.20 \): \[ b - 12 = \frac{15}{0.20} = 75 \]
   • Then, add \( 12 \) to both sides: \[ b = 75 + 12 = 87 \]

So, the amount of the original bill is $87.

Answer 4

87 is wrong

Answer 5

I apologize for the confusion in my previous explanations. Let's carefully reorganize the information and recalculate the original bill.

We have:

1. Let \( b \) be the original bill amount.
2. The dessert cost \( L = 12 \).
3. The dessert was removed, so the new bill is \( b - 12 \).
4. Stan tipped 20% on the reduced bill which resulted in a $15 tip.

Setting up the equation based on the information:

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

Now, let's solve it step by step:

1. First, divide both sides by \( 0.20 \): \[ b - 12 = \frac{15}{0.20} \]

2. Calculating \( \frac{15}{0.20} \): \[ \frac{15}{0.20} = 75 \]

3. Now, we have the equation: \[ b - 12 = 75 \]

4. Adding \( 12 \) to both sides: \[ b = 75 + 12 \]

So, \[ b = 87 \]

It seems like the calculation is consistent, and according to the information provided, the original bill is indeed $87.

If there is a specific reason why this answer doesn't appear correct, or if there is additional context that I need to consider, please let me know!