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The problem states that Severin works in a factory where the bolts have a nominal mass of 5 grams each, but each bolt's mass can vary by up to ±1.9%. The total mass of the bolts in the box is exactly 1 kg (1000 grams). We are asked to determine the minimum and maximum number of bolts that could be in the box.

### Step 1: Calculate the mass range for a single bolt
The mass of each bolt can vary by 1.9%. The nominal mass is 5 grams, so:

- **Maximum mass of one bolt:**
  \[
  5 \, \text{g} + 1.9\% \times 5 \, \text{g} = 5 + 0.095 = 5.095 \, \text{g}
  \]

- **Minimum mass of one bolt:**
  \[
  5 \, \text{g} - 1.9\% \times 5 \, \text{g} = 5 - 0.095 = 4.905 \, \text{g}
  \]

### Step 2: Determine the number of bolts in the box
We know the total mass of the bolts is 1000 grams.

- **Maximum number of bolts:**
  The maximum number of bolts would occur if each bolt had the minimum possible mass, \(4.905 \, \text{g}\). The number of bolts, \( n \), would be:
  \[
  n = \frac{1000 \, \text{g}}{4.905 \, \text{g}} \approx 203.86
  \]
  Since \( n \) must be a whole number, we round this down to \( 203 \) bolts.

- **Minimum number of bolts:**
  The minimum number of bolts would occur if each bolt had the maximum possible mass, \(5.095 \, \text{g}\). The number of bolts would be:
  \[
  n = \frac{1000 \, \text{g}}{5.095 \, \text{g}} \approx 196.24
  \]
  We round this down to \( 196 \) bolts.

### Final Answer:
- **Minimum number of bolts**: 196
- **Maximum number of bolts**: 203

Would you like further clarification or details on this problem?

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Here are 5 related questions to expand your understanding:

1. How would the solution change if the variation in mass was ±2% instead of ±1.9%?
2. What would happen if the total mass of the bolts was not exactly 1 kg but 2 kg?
3. Can you calculate the total mass for a specific number of bolts with average mass variations?
4. How would the problem change if the percentage variation was not symmetric (i.e., +1.9% but −1.5%)?
5. How could you solve this if the bolts were packed in groups, and each group's mass varied?

**Tip:** When calculating variations, always consider the range and ensure your results are properly rounded to reflect real-world scenarios (e.g., whole number of objects like bolts).

Severin works in a factory that produces steel bolts. One type of steel bolt should have a mass of 5 g; however, there is some variation, so each bolt may be heavier or lighter by as much as 1.9%. Severin puts together a box of these bolts and notices that the total mass of the bolts in the box is exactly 1 kg. Determine the minimum and maximum number of bolts that could be in the box.

Severin puts together a box of steel bolts with a nominal mass of 5 g but a variation of 1.9%. The total mass of the bolts is exactly 1 kg. Learn how to calculate the minimum and maximum number of bolts that could be in the box, considering the mass variations.

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