The weight of 12 sheets of a paper is 50 grams. How many sheets will weigh 500 grams?

Answer

To solve the problem, we need to find out how many sheets of paper will weigh 500 grams, given that 12 sheets weigh 50 grams.

### Step-by-Step Solution:

1. **Determine the weight of one sheet of paper:**
- We know that 12 sheets weigh 50 grams.
- To find the weight of one sheet, we divide the total weight by the number of sheets:
\[ \text{Weight of one sheet} = \frac{50 \text{ grams}}{12 \text{ sheets}} \approx 4.17 \text{ grams/sheet} \]

2. **Set up the equation for the total weight of the sheets:**
- Let \( x \) be the number of sheets that weigh 500 grams.
- The total weight of \( x \) sheets can be expressed as:
\[ \text{Total weight} = x \times \text{Weight of one sheet} \]
- We know the total weight is 500 grams, so:
\[ 500 \text{ grams} = x \times \frac{50 \text{ grams}}{12 \text{ sheets}} \]

3. **Solve for \( x \):**
- Rearranging the equation gives:
\[ x = \frac{500 \text{ grams} \times 12 \text{ sheets}}{50 \text{ grams}} \]
- Simplifying this:
\[ x = \frac{6000 \text{ grams sheets}}{50 \text{ grams}} = 120 \text{ sheets} \]

4. **Conclusion:**
- Therefore, the number of sheets that will weigh 500 grams is **120 sheets**.