To determine which row accommodates more VIP guests, we need to compare the fractions representing the portions of total VIP guests each row can accommodate.
The fractions are:
- First row: [tex]\(\frac{5}{6}\)[/tex]
- Second row: [tex]\(\frac{3}{7}\)[/tex]
To compare these fractions, we can either find a common denominator or simply perform cross-multiplication.
Cross-Multiplication Method:
1. Write the fractions to be compared:
- [tex]\(\frac{5}{6}\)[/tex]
- [tex]\(\frac{3}{7}\)[/tex]
2. Cross-multiply to compare:
- Multiply the numerator of the first fraction by the denominator of the second fraction: [tex]\(5 \times 7 = 35\)[/tex]
- Multiply the numerator of the second fraction by the denominator of the first fraction: [tex]\(3 \times 6 = 18\)[/tex]
3. Compare the results of the cross-multiplication:
- [tex]\(35\)[/tex] (result from the first row) vs [tex]\(18\)[/tex] (result from the second row)
Since [tex]\(35\)[/tex] is greater than [tex]\(18\)[/tex], [tex]\(\frac{5}{6}\)[/tex] is larger than [tex]\(\frac{3}{7}\)[/tex].
Thus, the first row can accommodate more VIP guests than the second row.
So the answer is:
First row
