if i payed 749.10 for 454 grams and then i broke that up into 128 units at 3.5g each, how much would the 3.5g cost

To calculate the cost of each 3.5g unit, follow these steps:

1. **Find the cost per gram**:
   \[
   \text{Cost per gram} = \frac{\text{Total cost}}{\text{Total grams}} = \frac{749.10}{454}
   \]

2. **Calculate the cost for 3.5 grams**:
   \[
   \text{Cost for 3.5 grams} = \text{Cost per gram} \times 3.5
   \]

Let's calculate this.

### Step 1: Cost per gram
\[
\frac{749.10}{454} \approx 1.65 \text{ dollars per gram}
\]

### Step 2: Cost for 3.5 grams
\[
1.65 \times 3.5 \approx 5.78 \text{ dollars}
\]

Thus, each 3.5g unit costs approximately **$5.78**.

Would you like more details or have any questions?

### Related Questions:
1. How would the price change if the total weight was different but the cost remained the same?
2. What would be the cost if you increased the quantity to 150 units?
3. How does the cost per gram change if the price increases by 10%?
4. What is the total cost if you sold all 128 units at $6.00 each?
5. How much would a 5g unit cost under the same conditions?

**Tip:** Breaking down the calculation into smaller steps can help prevent errors when working with unit prices.

Learn how to calculate the cost of each 3.5g unit from a total purchase price of $749.10 for 454 grams. Follow a step-by-step guide to find the cost per gram and then determine the cost for 3.5 grams. Understand unit cost calculation and division concepts with practical examples.

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