Question

In the Opera theater Sections of seats consist three Rows are being laid out. It is planned so easy row will be two more seats than the one before it and 90 people must be seated in each section. How many people will be in the third row

Answer 1

The number of people in the third row of the Opera theater will be 27.

Step-by-step explanation:

To determine the number of people in each row of the Opera theater, let's denote the number of seats in the first row as x. According to the given plan, each subsequent row will have two more seats than the previous row. Therefore, the number of seats in the second row is x + 2, and in the third row, it is x + 4.

Now, the total number of people seated in each section is 90. So, the sum of the seats in the three rows is 3x + 6. Since this must equal 90 (as stated in the question), we can set up the equation 3x + 6 = 90.

Solving for x, we subtract 6 from both sides of the equation: 3x = 84. Then, dividing by 3, we find that x = 28. Therefore, the number of seats in the third row (x + 4) is 28 + 4 = 32. Hence, there will be 32 people in the third row of the Opera theater.