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Leanne and her family plan to attend a symphony at an orchestra hall. Before booking the tickets, Leanne checked a website where visitors rated the view of the symphony's soloist from their seating section. The data from the website is summarized in the table below.

\begin{tabular}{|c|c|c|}
\hline
Section & \begin{tabular}{c}
Number of \\ reviewers who sat \\ in the section
\end{tabular} & \begin{tabular}{c}
Number of \\ reviewers who \\ rated the view as \\ "perfect"
\end{tabular} \\
\hline
L1 & 90 & 57 \\
\hline
L2 & 52 & 33 \\
\hline
L3 & 75 & 47 \\
\hline
U1 & 84 & 55 \\
\hline
U2 & 43 & 27 \\
\hline
U3 & 35 & 22 \\
\hline
\end{tabular}

According to the data from the website, in which seating section should Leanne's family book the tickets if they want to maximize their chance of having a "perfect" view of the symphony's soloist?



Answer :

GinnyAnswer
Let's analyze the given data step by step to determine in which seating section Leanne's family should book their tickets to maximize their chance of having a "perfect" view of the symphony's soloist.

We have the following sections with corresponding data on the number of reviewers and perfect reviews:

| Section | Total Reviewers | Perfect Reviews |
|---------|-----------------|-----------------|
| L1 | 90 | 57 |
| L2 | 52 | 33 |
| L3 | 75 | 47 |
| U1 | 84 | 55 |
| U2 | 43 | 27 |
| U3 | 35 | 22 |

To find the section with the highest percentage of perfect reviews, we need to calculate the percentage of perfect reviews for each section.

The formula for the percentage of perfect reviews in each section is:
[tex]\[ \text{Percentage} = \left( \frac{\text{Number of Perfect Reviews}}{\text{Total Number of Reviewers}} \right) \times 100 \][/tex]

Let's calculate these values for each section:

1. Section L1
[tex]\[ \text{Percentage}_{L1} = \left( \frac{57}{90} \right) \times 100 \approx 63.33\% \][/tex]

2. Section L2
[tex]\[ \text{Percentage}_{L2} = \left( \frac{33}{52} \right) \times 100 \approx 63.46\% \][/tex]

3. Section L3
[tex]\[ \text{Percentage}_{L3} = \left( \frac{47}{75} \right) \times 100 \approx 62.67\% \][/tex]

4. Section U1
[tex]\[ \text{Percentage}_{U1} = \left( \frac{55}{84} \right) \times 100 \approx 65.48\% \][/tex]

5. Section U2
[tex]\[ \text{Percentage}_{U2} = \left( \frac{27}{43} \right) \times 100 \approx 62.79\% \][/tex]

6. Section U3
[tex]\[ \text{Percentage}_{U3} = \left( \frac{22}{35} \right) \times 100 \approx 62.86\% \][/tex]

Now we compare these percentages:
- L1: 63.33%
- L2: 63.46%
- L3: 62.67%
- U1: 65.48%
- U2: 62.79%
- U3: 62.86%

The section with the highest percentage of perfect views is U1 with approximately 65.48%.

Therefore, Leanne's family should book their tickets in section U1 to maximize their chance of having a "perfect" view of the symphony's soloist.

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