Prudence was starting a cupcake business. She figured that each cupcake cost $0.75 to make. The first 2 dozen that she made burnt and she had to throw them out. The next 2 came out perfectly and she ended up eating 5 cupcakes right away. Later that day she made 2 more dozen cupcakes and decided to eat 4 more. If she sells the remaining cupcakes at $2.00 each, how much is her net profit? Give me reasons, before answering the question
She burnt 2 dozen, cooked 2 dozen and then another 2 dozen that evening. So she made 2 + 2 + 2 = 6 dozen cupcakes. Each dozen makes 12 cupcakes, so she made 6 * 12 = 72 cupcakes. She threw away 2 dozen cupcakes, so 2 * 12 = 24 cupcakes. She made 72, threw away 24, ate 5 and then ate another 4 so she had 72 - 24 - 5 - 4 = 39 cupcakes left. She sells the 39 cupcakes at $2.00 each so she earned 39 * 2 = $78.00. She made 72 cupcakes at a cost of $0.75 each for a total cost of 72 * $0.75 = $54.00. If she made $78 on the remaining cupcakes and it cost her $54.00 to make all of the cupcakes then her profit is $78 - $54 = $24.00. So the final answer is 24.