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)

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let's start by setting up the equation.

The reduced bill can be determined by subtracting the cost of the dessert from the original bill, so the reduced bill is given by b - 12.

Now let's consider the tip. Since Stan tipped the waiter 20% on the reduced bill, the tip is 20% of (b - 12), which can be expressed as (0.2*(b - 12)).

According to the problem, the tip amounts to $15. Therefore, we can set up the equation:

0.2*(b - 12) = 15

Now we can solve this equation to determine the original bill, b.

Answer 2

[AI-generated answer — Explain Bot]

Let's break down the information provided and fill in the blanks to write the equation.

We know that Stan tipped the waiter 20% on the reduced bill, which was a $15 tip. This means that the $15 tip is equal to 20% of the reduced bill.

We need to find the reduced bill first. We are told that the friend told the waiter to remove the $12 dessert from Stan's bill. So the reduced bill will be the original bill minus the $12 dessert.

Let's substitute the variables and write the equation:

Reduced Bill = Original Bill - $12 (equation 1)

Next, we know that the tip was 20% of the reduced bill and it amounted to $15. So, we can set up another equation:

$15 = 0.20 * Reduced Bill (equation 2)

Now, let's substitute the value of the reduced bill from equation 1 into equation 2:

$15 = 0.20 * (Original Bill - $12)

To finalize the equation, we can distribute the 0.20:

$15 = 0.20 * Original Bill - 0.20 * $12

This simplifies to:

$15 = 0.20 * Original Bill - $2.40 (equation 3)

Thus, the equation that will determine the amount of the original bill, b, is:

$15 = 0.20 * b - $2.40