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

.

Answer 1

i need the answer

Answer 2

To determine the amount of the original bill \( b \), we can set up an equation based on the information provided.

1. The reduced bill after removing the $12 dessert is given by:
\[
b - 12
\]

2. Stan tipped the waiter 20% on the reduced bill. We can express the tip mathematically:
\[
\text{Tip} = 0.20 \times (b - 12)
\]

3. We know that the tip amount is $15, so we set the equation:
\[
0.20 \times (b - 12) = 15
\]

Now you have the equation you can use to solve for the original bill \( b \):
\[
0.20(b - 12) = 15
\]

This equation can be solved to find \( b \).

Answer 3

Sure! Let's solve the equation \( 0.20(b - 12) = 15 \) step by step.

1. Start with the equation:
\[
0.20(b - 12) = 15
\]

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

3. Calculate \( \frac{15}{0.20} \):
\[
\frac{15}{0.20} = 15 \div 0.20 = 15 \times 5 = 75
\]
So, we have:
\[
b - 12 = 75
\]

4. Now, add 12 to both sides to solve for \( b \):
\[
b = 75 + 12
\]

5. Therefore:
\[
b = 87
\]

The original bill \( b \) is **$87**.