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

Question

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Answer 1

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 2

i need the answer

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.