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Ahmed is planning to cook his family dinner and needs to purchase several food items. He is able to purchase these items either at the local grocery store or the farmer's market. Given in the table are the items and their prices.

\begin{tabular}{|l|l|}
\hline \multicolumn{1}{|c|}{ Grocery Store } & \multicolumn{1}{|c|}{ Farmer's 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 and 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)

Sagot :

GinnyAnsweridn
### Part A: Determine the Unit Price of the Item

Let's choose the item "eggs" to determine the unit price at each location.

At the Grocery Store:
- Price of 12 eggs: \[tex]$3.00 - Calculation of unit price: \[ \text{Unit Price at Grocery Store} = \frac{\$[/tex]3.00}{12 \text{ eggs}} = \[tex]$0.25 \text{ per egg} \] At the Farmer's Market: - Price of 7 eggs: \$[/tex]1.40
- Calculation of unit price:
[tex]\[ \text{Unit Price at Farmer's Market} = \frac{\$1.40}{7 \text{ eggs}} = \$0.20 \text{ per egg} \][/tex]

### Part B: Determine the Better Deal and Explain

Based on our calculations in Part A:
- Unit Price at Grocery Store: \[tex]$0.25 per egg - Unit Price at Farmer's Market: \$[/tex]0.20 per egg

Comparison:
[tex]\[ \$0.25 \text{ per egg} \quad \text{(Grocery Store)} \quad > \quad \$0.20 \text{ per egg} \quad \text{(Farmer's Market)} \][/tex]

The Farmer's Market offers a better deal for the eggs, as the unit price is lower there. This means Ahmed will spend less money per egg if he buys them from the Farmer's Market.

Therefore, the Farmer's Market is the better option for purchasing eggs.
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