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A theater has 18 rows of seats. Each row has the same number of seats.
Suppose there were 3 fewer rows. Then for the theater to hold the same
number of people, each remaining row would need 6 more seats. How
many seats are in the theater?

Respuesta :

MrRoyal

There are a total of  180 seats in the theater

How to determine the number of seats?

The theatre illustrates an arithmetic sequence, with the following parameters:

Number of rows = 18

Let the number of seats per row be n.

So, we have:

Total = 18n

When there are 3 fewer rows, the total number of seats is:

Total = (18 - 3) * (n + 6)

This gives

Total = 15* (n + 6)

Substitute Total = 18n in Total = 15* (n + 6)

18n = 15* (n + 6)

Open the bracket

18n = 15n + 90

Subtract 15n from both sides

3n = 30

Divide both sides by 3

n = 10

Substitute n = 10 in Total = 18n

Total = 18 *10

This gives

Total = 180

Hence, there are 180 seats in the theater

Read more about sequence at:

https://brainly.com/question/6561461

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