{"question": "Natalia sold 48 cupcakes. If she sold 60% of her cupcakes, how many did she have in total?", "original_solution": "That's a great question about percentages and finding a total! Let's break it down step-by-step.\n\nFirst, let's understand what a **percentage** means. A percentage is simply a way to express a part of a whole as a fraction of 100. So, 60% means 60 out of every 100.\n\nHere's how we can solve your problem:\n\n**Step 1: Understand what we know**\n*   Natalia sold 48 cupcakes.\n*   These 48 cupcakes represent 60% of her *total* cupcakes.\n*   We want to find the *total* number of cupcakes she had.\n\n**Step 2: Set up an equation**\nLet's use a variable, say 'T', to represent the total number of cupcakes Natalia had.\nWe know that \"60% of T is 48\".\nTo write this mathematically, we convert the percentage to a decimal (60% = 0.60) or a fraction (60/100).\nSo, our equation becomes:\n0.60 \u00d7 T = 48\n\n**Step 3: Solve for the total (T)**\nTo find 'T', we need to isolate it. We can do this by dividing both sides of the equation by 0.60:\nT = 48 / 0.60\n\n**Step 4: Perform the calculation**\nWhen you divide 48 by 0.60:\nT = 80\n\nThis means Natalia had a total of 80 cupcakes.\n\n**Step 5: Check your answer (optional but good practice!)**\nIf Natalia had 80 cupcakes in total and sold 60% of them, then:\n60% of 80 = 0.60 \u00d7 80 = 48\nThis matches the number of cupcakes she sold, so our answer is correct!\n\nNatalia had **80** cupcakes in total.", "feedback_text": "yes", "rating": "good", "thread_id": "2923f5bb-300a-4d1e-9373-9803a0be7ccd", "timestamp": "2025-10-31T09:40:50.115930"}
{"question": "5+5-19*5 =?", "original_solution": "Hello there! I'd be happy to help you solve this math problem step-by-step.\n\nYour question is: **5 + 5 - 19 * 5 = ?**\n\nTo solve this, we need to follow the \"Order of Operations.\" This is a set of rules that tells us the correct sequence to perform mathematical operations. A common acronym to remember this order is **PEMDAS** (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) or **BODMAS** (Brackets, Orders, Division and Multiplication, Addition and Subtraction).\n\nLet's break it down:\n\n**Step 1: Look for Parentheses or Brackets.**\nIn your problem, `5 + 5 - 19 * 5`, there are no parentheses or brackets, so we can move to the next step.\n\n**Step 2: Look for Exponents or Orders.**\nThere are no exponents (like 2^3) in this problem, so we move on.\n\n**Step 3: Perform Multiplication and Division (from left to right).**\nLooking at our expression `5 + 5 - 19 * 5`, we see a multiplication: `19 * 5`.\nLet's calculate that first:\n`19 * 5 = 95`\n\nNow, we replace `19 * 5` with `95` in our original expression:\n`5 + 5 - 95`\n\n**Step 4: Perform Addition and Subtraction (from left to right).**\nNow we have `5 + 5 - 95`. We work from left to right.\nFirst, let's do the addition: `5 + 5`.\n`5 + 5 = 10`\n\nNow, replace `5 + 5` with `10` in the expression:\n`10 - 95`\n\nFinally, perform the subtraction:\n`10 - 95 = -85`\n\nSo, the final answer is **-85**.", "feedback_text": "you can make it simple", "rating": "bad", "thread_id": "fc6a55b2-0045-4922-afbe-7b696ce2d097", "timestamp": "2025-10-31T09:53:32.524522"}