Stan took Lilly to his friends restaurant on a date. The friend told the Waiter to remove the $12.00 dessert from the bill. Stan tipped the waiter 20% on the reduced bill, which was a $15.00 tip. Fill in the blanks to write an equation that will determine the amount of the original bill.

Question

Stan took Lilly to his friends restaurant on a date. The friend told the Waiter to remove the $12.00 dessert from the bill. Stan tipped the waiter 20% on the reduced bill, which was a $15.00 tip. Fill in the blanks to write an equation that will determine the amount of the original bill.

___(b-12)=15
Please help. The Answer is not $87.00
I need help with the first Blank

Answer 1

Let's call the original bill amount "b". Since the friend told the waiter to remove the $12.00 dessert from the bill, the reduced bill would be "b-12".

Now we can set up the equation to determine the amount of the original bill:

20% of the reduced bill = $15.00

Writing this equation in mathematical form:

0.20(b-12) = 15

So the first blank would be 0.20.

Answer 2

To determine the amount of the original bill, we can represent it with the variable "b". Since the friend asked the waiter to remove the $12.00 dessert from the bill, we need to subtract $12.00 from the original bill, which is represented as (b - 12).

So, the equation that represents the situation is:

(b - 12) = 15

To find the value of "b," we can solve this equation:

b - 12 = 15

Adding 12 to both sides:

b = 15 + 12
b = 27

Therefore, the original bill amount was $27.

Answer 3

To determine the amount of the original bill, let's assign a variable to represent the unknown amount. Let's use "x" as the variable.

Now let's break down the information given:

1. The friend told the waiter to remove the $12.00 dessert from the bill. This means that the original bill must have included the $12.00 dessert.

2. Stan tipped the waiter 20% on the reduced bill, which was a $15.00 tip. This means that the tip is equal to 20% of the reduced bill.

With this information, we can set up the equation:
x - 12 = 0.20(x)

Explanation of the equation:
- The left side of the equation, (x - 12), represents the original bill after subtracting the $12.00 dessert.
- The right side of the equation, 0.20(x), represents the 20% tip of the reduced bill (the reduced bill is represented by x).

Now, let's solve the equation to find the value of x:

x - 12 = 0.20(x)
Expand the right side:
x - 12 = 0.20x

Now, bring the 0.20x term to the left side by subtracting 0.20x from both sides:
x - 0.20x - 12 = 0
Combining like terms:
0.80x - 12 = 0

Next, add 12 to both sides to isolate the x term:
0.80x = 12

Finally, divide both sides by 0.80 to solve for x:
x = 12 / 0.80
x = 15

So the original bill amount is $15.00.