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)

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)

__(8 - __) = __

GPT-4o mini · Answer

To determine the original bill $ b $, we can start by analyzing the information given. 1. The dessert costs $12, which was removed from Stan's original bill $ b $. 2. The reduced bill after removing the dessert becomes $ b - 12 $. 3. Stan tipped the waiter 20% on the reduced bill, and this tip was $15. Therefore, we can express the tip as: $$ 0.20(b - 12) = 15 $$ To solve for the original bill $ b $, we will rearrange the equation: $$ b - 12 = \frac{15}{0.20} $$ Calculating $ \frac{15}{0.20} $ gives us: $$ b - 12 = 75 $$ Then, we can solve for $ b $: $$ b = 75 + 12 $$ $$ b = 87 $$ To write the equation in the format requested: $$ (87 - 12) = 75 $$ Thus, filling in the blanks: __(87 - 12) = 75__