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.

First, 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.

Here's how we can solve your problem:

**Step 1: Understand what we know**
*   Natalia sold 48 cupcakes.
*   These 48 cupcakes represent 60% of her *total* cupcakes.
*   We want to find the *total* number of cupcakes she had.

**Step 2: Set up an equation**
Let's use a variable, say 'T', to represent the total number of cupcakes Natalia had.
We know that "60% of T is 48".
To write this mathematically, we convert the percentage to a decimal (60% = 0.60) or a fraction (60/100).
So, our equation becomes:
0.60 × T = 48

**Step 3: Solve for the total (T)**
To find 'T', we need to isolate it. We can do this by dividing both sides of the equation by 0.60:
T = 48 / 0.60

**Step 4: Perform the calculation**
When you divide 48 by 0.60:
T = 80

This means Natalia had a total of 80 cupcakes.

**Step 5: Check your answer (optional but good practice!)**
If Natalia had 80 cupcakes in total and sold 60% of them, then:
60% of 80 = 0.60 × 80 = 48
This matches the number of cupcakes she sold, so our answer is correct!

Natalia had **80** cupcakes in total.

feedback_text: yes

rating: good


question: 5+5-19*5 =?

original_solution:
Hello there! I'd be happy to help you solve this math problem step-by-step.

Your question is: **5 + 5 - 19 * 5 = ?**

To 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).

Let's break it down:

**Step 1: Look for Parentheses or Brackets.**
In your problem, `5 + 5 - 19 * 5`, there are no parentheses or brackets, so we can move to the next step.

**Step 2: Look for Exponents or Orders.**
There are no exponents (like 2^3) in this problem, so we move on.

**Step 3: Perform Multiplication and Division (from left to right).**
Looking at our expression `5 + 5 - 19 * 5`, we see a multiplication: `19 * 5`.
Let's calculate that first:
`19 * 5 = 95`

Now, we replace `19 * 5` with `95` in our original expression:
`5 + 5 - 95`

**Step 4: Perform Addition and Subtraction (from left to right).**
Now we have `5 + 5 - 95`. We work from left to right.
First, let's do the addition: `5 + 5`.
`5 + 5 = 10`

Now, replace `5 + 5` with `10` in the expression:
`10 - 95`

Finally, perform the subtraction:
`10 - 95 = -85`

So, the final answer is **-85**.

feedback_text: you can make it simple

rating: bad