if i paid 749.10 for 454 grams and i packaed 126 3.5g units, how much is each unit

To determine the cost per unit for packaging 126 units of 3.5 grams each from a total of 454 grams, for which you paid \$749.10, we will calculate the cost of each 3.5-gram unit.

### Step-by-Step Solution

1. **Determine the total number of grams packed:**

Each unit weighs 3.5 grams, and there are 126 units, so the total number of grams packed is:

\[
126 \times 3.5 = 441 \, \text{grams}
\]

2. **Calculate the cost per gram:**

You paid \$749.10 for 454 grams, so the cost per gram is:

\[
\text{Cost per gram} = \frac{749.10}{454} \approx 1.65 \, \text{\$/gram}
\]

3. **Calculate the cost of each 3.5-gram unit:**

The cost of each unit weighing 3.5 grams is:

\[
\text{Cost per unit} = 3.5 \times 1.65 \approx 5.78 \, \text{\$/unit}
\]

### Conclusion

The cost of each 3.5-gram unit is **\$5.78**.

Would you like more details or have any questions?

Here are 5 related questions that expand on this information:
1. If the cost per gram changes to \$2.00, what would be the new cost per 3.5-gram unit?
2. How would the total cost change if you packaged 150 units instead of 126?
3. If there was a 10% discount on the original price of \$749.10, how much would each unit cost?
4. What is the total weight if you add 10 more 3.5-gram units to the current 126 units?
5. How would you calculate the cost per unit if the units had different weights?

**Tip**: When calculating unit costs, it's essential to first determine the cost per unit of measurement (e.g., per gram) and then multiply by the specific unit size for accurate pricing.

Learn how to calculate the cost per 3.5-gram unit from the total grams and total cost paid. This problem involves basic arithmetic, including division and multiplication, to determine the unit cost efficiently. Suitable for general audiences interested in financial calculations and unit pricing.

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