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
__b −__) = __
(0.20(b - 12) = 15
Let's break down the problem step-by-step:
1. The original bill amount is b.
2. The friend told the waiter to remove the $12 dessert from Stan's bill. So, we subtract $12 from b to get the reduced bill amount: (b - $12).
3. Stan tipped the waiter 20% on the reduced bill, which was a $15 tip. This means 20% of the reduced bill equals $15. We can express this as: 0.2 * (b - $12) = $15.
Now we can fill in the blanks using the above information:
(b - $12) - ($__) = $15
To solve this problem, let's break it down step by step.
Step 1: Understand the information given.
- The dessert was initially priced at $12.
- 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.
Step 2: Determine the reduced bill.
Since the dessert was removed from the bill, the reduced bill would be the original bill minus the cost of the dessert. Let's represent the reduced bill as (b - 12).
Step 3: Calculate the tip amount.
Stan tipped 20% on the reduced bill, which was a $15 tip. We can set up an equation to find the reduced bill:
20% of (b - 12) = $15
To find 20% of a number, we can multiply it by 0.20:
0.20(b - 12) = $15
Step 4: Simplify and solve the equation.
Multiply 0.20 by (b - 12):
0.20b - 2.40 = $15
To isolate b, we need to get rid of the -2.40 term. We can do this by adding 2.40 to both sides of the equation:
0.20b - 2.40 + 2.40 = $15 + 2.40
0.20b = $17.40
Finally, to solve for b, divide both sides of the equation by 0.20:
b = $17.40 / 0.20
Therefore, the original bill amount, b, is given by the equation:
b - 12 = $17.40 / 0.20
Simplifying further, we have:
b - 12 = $87
So, the equation to determine the amount of the original bill is:
b - 12 = $87