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)
Let the original bill amount be b.
After the friend removed the $12 dessert, the reduced bill amount was b - 12.
Stan tipped the waiter 20% on the reduced bill, which was 0.20 * (b - 12).
The equation that determines the amount of the original bill is:
b - 12 + 0.20 * (b - 12) = b.
To determine the amount of the original bill, we need to set up an equation using the given information.
Let's break down the information we have:
- 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.
We can write the equation as follows:
Original bill - $12 (dessert) + 20% of the reduced bill (tip) = Total bill
Let's use variables to represent the unknowns:
b - $12 + 0.20b = Total bill
Simplifying the equation, we have:
0.20b - $12 = Total bill - b
Since we also know that the tip was $15, we can further simplify the equation:
0.20b - $12 = $15
Now we can solve for the original bill, b:
0.20b = $15 + $12
0.20b = $27
Finally, dividing both sides of the equation by 0.20, we find:
b = $27 / 0.20
Therefore, the original bill, b, is $135.
Let's break down the given information:
1. The friend told the waiter to remove a $12 dessert from Stan's bill.
2. Stan tipped the waiter 20% on the reduced bill and the tip was $15.
To find the original bill amount, we can set up the equation as follows:
Original bill - $12 (removed dessert) + 20% of (the reduced bill) = Original bill
Let's represent the original bill as "b".
b - 12 + 0.2 * (b - 12) = b
Now, we can simplify and solve for "b".
0.2 * (b - 12) = 12
0.2b - 2.4 = 12
0.2b = 12 + 2.4
0.2b = 14.4
b = 14.4 / 0.2
b = 72
Therefore, the original bill amount, b, was $72.