To determine which row can accommodate more VIP guests, let's compare the fractions representing the capacity of each row.
The first row accommodates [tex]\(\frac{5}{6}\)[/tex] of the total VIP guests.
The second row accommodates [tex]\(\frac{3}{7}\)[/tex] of the total VIP guests.
To compare these fractions, we need to determine which fraction is larger. Here's how we can approach this comparison:
First, look at the two fractions:
1. [tex]\(\frac{5}{6}\)[/tex]
2. [tex]\(\frac{3}{7}\)[/tex]
To compare these fractions, let's convert them to a common denominator or compare them directly by cross-multiplying.
Cross-multiplying means comparing:
[tex]\[
5 \times 7 \quad \text{with} \quad 6 \times 3
\][/tex]
Calculating the products, we get:
[tex]\[
5 \times 7 = 35
\][/tex]
[tex]\[
6 \times 3 = 18
\][/tex]
Since [tex]\(35\)[/tex] is greater than [tex]\(18\)[/tex], [tex]\(\frac{5}{6}\)[/tex] is greater than [tex]\(\frac{3}{7}\)[/tex].
Therefore, the first row can accommodate more VIP guests than the second row.
Final Answer: First row
