seats are arranged in rows in a auditorium.each row has 5 more than the previous row 15th row contains 32 seats.which row has 92 seats
To find the row that has 92 seats, we need to determine the pattern in the number of seats in each row.
Let's analyze the given information: the 15th row contains 32 seats, and each row has 5 more seats than the previous one.
To find the number of seats in the 16th row, we can add 5 to the number of seats in the 15th row:
32 + 5 = 37 seats in the 16th row.
We can continue this pattern to find out the number of seats in the subsequent rows:
17th row: 37 + 5 = 42 seats
18th row: 42 + 5 = 47 seats
19th row: 47 + 5 = 52 seats
By observing this pattern, we can see that each row adds 5 more seats than the previous row. Therefore, the number of seats in the nth row can be represented by the formula: n + 10 + (5*(n-1)), where n represents the row number.
Using this formula, we can determine the row number that has 92 seats by setting up the equation:
n + 10 + (5*(n-1)) = 92
To solve this equation, we simplify it:
n + 10 + 5n - 5 = 92
6n + 5 = 92
6n = 87
n = 87/6
Using long division, we find that 87 divided by 6 equals 14 remainder 3. Therefore, n ≈ 14.33.
Since the number of rows must be a whole number, we round down to the nearest whole number.
Hence, the row that has 92 seats is the 14th row.
row 15 = 32 seats
every row after that has 5 more than the previous one. so
32+ 5 X (how many rows) = 92 seats
92-32=60 and 60 /5 = 12. so 15+12= 27th row