Josh is creating a circle graph using the data shown in the chart. What percentage will the veggie sandwich section represent?

\begin{tabular}{lcc}
\hline Sandwich & Votes & Percent \\
\hline Turkey & 10 & \\
Tuna & 12 & \\
Veggie & 18 & \\
Ham & 10 & \\
Total & 50 & [tex]$100\%$[/tex] \\
\hline
\end{tabular}

A. [tex]$5\%$[/tex]
B. [tex]$9\%$[/tex]
C. [tex]$18\%$[/tex]
D. [tex]$36\%$[/tex]



Answer :

To determine the percentage of votes the veggie sandwich received, let's go through the solution step-by-step:

1. Identify the total number of votes:
- The total number of votes is given as 50.

2. Identify the number of votes for the veggie sandwich:
- The veggie sandwich received 18 votes.

3. Calculate the percentage of votes for the veggie sandwich:
- The formula to calculate the percentage is:
[tex]\[ \text{Percentage} = \left( \frac{\text{Number of votes for veggie sandwich}}{\text{Total number of votes}} \right) \times 100 \][/tex]

4. Apply the numbers to the formula:
- Substituting the numbers into the formula, we get:
[tex]\[ \text{Percentage} = \left( \frac{18}{50} \right) \times 100 \][/tex]

5. Calculate the result:
- Performing the division and multiplication, the result is:
[tex]\[ \left( \frac{18}{50} \right) \times 100 = 36 \][/tex]

Thus, the percentage of the votes that the veggie sandwich received is 36%. Therefore, the veggie sandwich section in the circle graph will represent 36% of the total votes.

So, the correct answer is 36%.

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