Guest Seating Arrangement:

If the first row accommodates [tex]\frac{5}{6}[/tex] of the total VIP guests and the second row accommodates [tex]\frac{3}{7}[/tex] of the total, which row can accommodate more VIP guests?

A. First row
B. Second row



Answer :

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