Answered

Salwa is ordering lunch for employees at her office. The employees in the Accounting and Marketing Department were given 3 lunch options. She wrote down their orders in this table.

Lunch Options

\begin{tabular}{|r|c|c|c|c|}
\hline
& Sandwiches & Tacos & Pasta & Total \\
\hline
Accounting & 5 & 20 & 9 & 34 \\
\hline
Marketing & 15 & 15 & 6 & 36 \\
\hline
Total & 20 & 35 & 15 & 70 \\
\hline
\end{tabular}

What percentage of the total orders were for pasta?

A. [tex]$16.7 \%$[/tex]
B. [tex]$21.4 \%$[/tex]
C. [tex]$26.4 \%$[/tex]
D. [tex]$27.3 \%$[/tex]



Answer :

To find the percentage of total orders that were for pasta, you need to follow these steps:

1. Identify the total number of orders and the number of pasta orders.

From the given table:
- Total orders: 70
- Pasta orders: 15

2. Calculate the percentage of total orders that were for pasta.

The percentage can be found using the formula:
[tex]\[ \text{Percentage} = \left( \frac{\text{Pasta Orders}}{\text{Total Orders}} \right) \times 100 \][/tex]

Substitute the values into the formula:
[tex]\[ \text{Percentage} = \left( \frac{15}{70} \right) \times 100 \][/tex]

3. Interpret the result.

Simplifying the expression inside the parentheses first:
[tex]\[ \frac{15}{70} = 0.21428571428571427 \][/tex]
Then multiply by 100 to convert to a percentage:
[tex]\[ 0.21428571428571427 \times 100 = 21.428571428571427 \][/tex]

4. Round the result to the nearest tenth.

Rounding 21.428571428571427 to the nearest tenth gives:
[tex]\[ 21.4\% \][/tex]

So, the percentage of the total orders that were for pasta is [tex]\(21.4\%\)[/tex], which corresponds to the second option:
[tex]\[ \boxed{21.4\%} \][/tex]