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 .
The reduced bill is $12 dessert removed from the original bill: b - 12.
The amount of the tip is 20% of the reduced bill, which is $15: (b - 12) * 20/100 = 15.
Multiplying both sides of the equation by 100/20 we have: (b - 12) * 5 = 75.
Simplifying the left side of the equation gives: 5b - 60 = 75.
Adding 60 to both sides of the equation gives: 5b = 135.
Dividing both sides of the equation by 5 gives: b = 27.
The amount of the original bill is $<<27=27>>27. Answer: \boxed{27}.
To find the amount of the original bill, we'll break down the information given:
1. The friend told the waiter to remove the $12 dessert from Stan's bill.
This means that the original bill was reduced by $12.
2. Stan tipped the waiter 20% on the reduced bill, which was a $15 tip.
This implies that the tip amount is 20% of the reduced bill.
Now, let's build the equation:
Original bill = Reduced bill + $12
Tip amount = 0.20 * Reduced bill
We know that the tip amount is $15, so we can substitute this value into the equation:
$15 = 0.20 * Reduced bill
To find the value of the reduced bill, we need to isolate it on one side:
Reduced bill = $15 / 0.20
Now we can substitute this value into the equation for the original bill:
Original bill = ($15 / 0.20) + $12
Simplifying further:
Original bill = $75 + $12
Therefore, the equation to determine the amount of the original bill, b, is:
b = 75 + 12
b = 87