Question

In an indoor soccer stadium, there are 20 seats in the first row and 31 seats in the second row. Every

Answer 1

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Step-by-step Solution for Part-a:

We know that:

• Row-1: 20 seats
• Row-2: 20 + 11
• Row-x: 20 + (11x - 11)

Since the number of rows in rows x is 20 + (11x - 11), the formula to calculate the number of seats in each row is 20 + (11x - 11).

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Step-by-step Solution for Part-b:

We know that:

• y rows = 174 seats
• Obtained rule from part-a: 20 + (11y - 11)

Solution:

• 20 + (11y - 11) = 174 rows
• => 20 + 11y - 11 = 174 rows
• => 9 + 11y = 174 rows
• => 11y = 174 - 9 rows
• => 11y = 165
• => y = 165/11
• => y = 15

Hence, the row which has 174 seats is row 15.

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