if 454 grams cost $1.65 per gram and we break it out to 127 units of 3.5g each, how much should each 3.5g cost?

To find out how much each 3.5g unit should cost, let's follow these steps:

1. **Calculate the total cost of 454 grams:**
   \[
   \text{Total Cost} = 454 \times 1.65 = 749.10 \text{ dollars}
   \]

2. **Determine the number of units you can break the 454 grams into, where each unit is 3.5 grams:**
   \[
   \text{Number of units} = \frac{454}{3.5} \approx 129.71 \text{ units}
   \]
   (Since we are considering 127 units, we'll use this as the given number.)

3. **Calculate the cost of each 3.5g unit:**
   \[
   \text{Cost per unit} = \frac{\text{Total Cost}}{127} = \frac{749.10}{127} \approx 5.90 \text{ dollars}
   \]

So, each 3.5g unit should cost approximately **$5.90**.

Would you like more details or have any questions about the calculations? Here are some related questions for further exploration:

1. What is the cost per gram if the price changes to $2 per gram?
2. How much would it cost if you made 150 units instead of 127?
3. What if you sold 100 units; how much would each unit cost?
4. How much profit would you make if you sold each unit at $7?
5. How would the unit cost change if the total weight was 500 grams instead of 454 grams?

**Tip:** Always verify the consistency of units when performing calculations, especially when breaking quantities into smaller parts.

Learn how to calculate the cost per 3.5g unit from a purchase of 454 grams at $1.65 per gram. Follow a step-by-step solution to determine the unit cost, covering unit cost calculation and division. Suitable for high school students studying unit pricing and division in mathematics.

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