mbrandonj8369
Answered

The Art Store sells three types of art pencil sets. The profit is [tex]\$ 8.45[/tex] on watercolor pencil sets, [tex]\$ 6.19[/tex] on pastel pencil sets, and [tex]\$ 4.62[/tex] on charcoal pencil sets. There are two branches of the Art Store. The number of sales of pencil sets for each store are shown in the table below.

\begin{tabular}{|l|l|l|}
\hline Set Type & Sales for Westside Branch & Sales for Downtown Branch \\
\hline watercolor & 132 & 74 \\
\hline pastel & 56 & 48 \\
\hline charcoal & 119 & 126 \\
\hline
\end{tabular}

Which store had the most profit, and what was the total profit of that store?

a. Westside - [tex]\$ 1504.54[/tex]
b. Westside - [tex]\[tex]$ 2011.82[/tex]
c. Downtown - [tex]\$[/tex] 1504.54[/tex]
d. Downtown - [tex]\$ 2011.82[/tex]

Please select the best answer from the choices provided.



Answer :

GinnyAnswer
To answer the question, we'll calculate the total profit for both branches of the Art Store by considering the number of pencil sets sold and their respective profit margins.

1. Calculate the total profit for the Westside Branch:

- Watercolor pencil sets: 132 sets sold at [tex]$\$[/tex] 8.45[tex]$ each. \[ \text{Profit from watercolor sets} = 132 \times 8.45 = 1114.40 \] - Pastel pencil sets: 56 sets sold at $[/tex]\[tex]$ 6.19$[/tex] each.
[tex]\[ \text{Profit from pastel sets} = 56 \times 6.19 = 346.64 \][/tex]

- Charcoal pencil sets: 119 sets sold at [tex]$\$[/tex] 4.62[tex]$ each. \[ \text{Profit from charcoal sets} = 119 \times 4.62 = 550.78 \] - Total profit for the Westside Branch: \[ \text{Total profit} = 1114.40 + 346.64 + 550.78 = 2011.82 \] 2. Calculate the total profit for the Downtown Branch: - Watercolor pencil sets: 74 sets sold at $[/tex]\[tex]$ 8.45$[/tex] each.
[tex]\[ \text{Profit from watercolor sets} = 74 \times 8.45 = 625.30 \][/tex]

- Pastel pencil sets: 48 sets sold at [tex]$\$[/tex] 6.19[tex]$ each. \[ \text{Profit from pastel sets} = 48 \times 6.19 = 297.12 \] - Charcoal pencil sets: 126 sets sold at $[/tex]\[tex]$ 4.62$[/tex] each.
[tex]\[ \text{Profit from charcoal sets} = 126 \times 4.62 = 582.12 \][/tex]

- Total profit for the Downtown Branch:
[tex]\[ \text{Total profit} = 625.30 + 297.12 + 582.12 = 1504.54 \][/tex]

3. Determine which branch made the most profit:

- Westside Branch: [tex]$\$[/tex] 2011.82[tex]$ - Downtown Branch: $[/tex]\[tex]$ 1504.54$[/tex]

Since the Westside Branch made a higher profit of [tex]$\$[/tex] 2011.82[tex]$ compared to the Downtown Branch's profit of $[/tex]\[tex]$ 1504.54$[/tex], the Westside Branch had the most profit.

Therefore, the best answer from the choices provided is:
b. Westside - [tex]$\$[/tex] 2011.82$