Sure, let's break down this problem step-by-step.
### Step 1: Calculate the Unit Price for Each Bag
Unit price for the 2.12-pound bag:
Ahmad paid \[tex]$15.54 for a 2.12-pound bag of shrimp. The unit price is calculated as follows:
\[ \text{Unit price} = \frac{\text{Total price}}{\text{Weight}} \]
Plugging in the values:
\[ \text{Unit price} = \frac{15.54}{2.12} \]
When we calculate this, we get approximately:
\[ \text{Unit price} \approx 7.33 \]
So, the unit price for the 2.12-pound bag is:
\[ \$[/tex]7.33 \text{ per pound} \]
Unit price for the 4.54-pound bag:
Ahmad paid \[tex]$33.89 for a 4.54-pound bag of shrimp. Again, we use the formula:
\[ \text{Unit price} = \frac{\text{Total price}}{\text{Weight}} \]
Plugging in the values:
\[ \text{Unit price} = \frac{33.89}{4.54} \]
When we calculate this, we get approximately:
\[ \text{Unit price} \approx 7.46 \]
So, the unit price for the 4.54-pound bag is:
\[ \$[/tex]7.46 \text{ per pound} \]
### Step 2: Compare the Unit Prices to Determine the Better Buy
Now that we have the unit prices:
- Unit price for the 2.12-pound bag: \[tex]$7.33 per pound
- Unit price for the 4.54-pound bag: \$[/tex]7.46 per pound
Since the unit price of the 2.12-pound bag is less than the unit price of the 4.54-pound bag (\[tex]$7.33 < \$[/tex]7.46), the 2.12-pound bag is the better buy.
### Final Answers
- Unit price for the 2.12-pound bag:
[tex]\[\$7.33 \text{ per pound}\][/tex]
- Unit price for the 4.54-pound bag:
[tex]\[\$7.46 \text{ per pound}\][/tex]
The better buy:
[tex]\[ \text{The 2.12-pound bag} \][/tex]
