Let's solve the given problem by breaking it down into two parts:
### Part A: Determine the Unit Price
Let's choose "tomatoes" as the item for our comparison.
Grocery Store:
- The grocery store offers 8 tomatoes for \[tex]$13.20.
- To find the unit price, we divide the total price by the number of tomatoes:
\[
\text{Unit Price}_{\text{Grocery}} = \frac{\$[/tex]13.20}{8 \text{ tomatoes}} = \[tex]$1.65 \text{ per tomato}
\]
Farmers Market:
- The farmers market offers 10 tomatoes for \$[/tex]17.50.
- To find the unit price, we divide the total price by the number of tomatoes:
[tex]\[
\text{Unit Price}_{\text{Farmers Market}} = \frac{\$17.50}{10 \text{ tomatoes}} = \$1.75 \text{ per tomato}
\][/tex]
Results for Part A:
- Unit price at the grocery store: \[tex]$1.65 per tomato
- Unit price at the farmers market: \$[/tex]1.75 per tomato
### Part B: Determine Which Location Offers a Better Deal
Based on the calculations in Part A, we can compare the unit prices for tomatoes:
- Unit price at the grocery store: \[tex]$1.65 per tomato
- Unit price at the farmers market: \$[/tex]1.75 per tomato
Since [tex]$1.65 < 1.75$[/tex], the grocery store offers a better deal for tomatoes.
Conclusion for Part B:
The grocery store offers a better deal for tomatoes, as the unit price is lower (\[tex]$1.65 per tomato) compared to the farmers market (\$[/tex]1.75 per tomato).
