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Amed is planning to cook dinner for his family and needs to purchase several food items. He can buy these items either at the local grocery store or the farmer's market. The table below lists the items and their prices.

\begin{tabular}{|l|l|}
\hline
\multicolumn{1}{|c|}{Grocery Store} & \multicolumn{1}{c|}{Farmers Market} \\
\hline
8 tomatoes for [tex]$13.20 & 10 tomatoes for $[/tex]17.50 \\
\hline
4 cups of mozzarella cheese for [tex]$4.60 & 3 cups of mozzarella cheese for $[/tex]3.30 \\
\hline
12 eggs for [tex]$3.00 & 7 eggs for $[/tex]1.40 \\
\hline
\end{tabular}

Part A: Choose one of the food items offered at the grocery store and the farmer's market. Determine the unit price of the item at each location. Show all necessary work, including the name of the item chosen. (6 points)

Part B: Based on your answer in Part A, which location offers a better deal? Explain. (4 points)



Answer :

GinnyAnswer
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).

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