Posted by **Jeannie** on Sunday, February 24, 2013 at 5:48pm.

A rectangular auditorium seats 900 people. The number of seats in each row exceeds the number of rows by 11. Find the number of seats in each row.

- Algebra II -
**Lena**, Sunday, February 24, 2013 at 6:26pm
Total # of seats = 900

# of rows = R

# of seats = S

So according to the question, if we have R rows then we have R+11 seats

Total # of seats = # of rows * # of seats/row

900 = R * (R+11)

900 = R^2 + 11R

0 = R^2 + 11R -900

0 = (R+36)(R-25)

Therefore, you must have 25 rows with 36 seats in each row. We can't use -36 rows because it does not give us a realistic answer.

- Algebra II -
**Lena**, Sunday, February 24, 2013 at 6:28pm
Essentially we've created a quadratic equation and we're solving it using factoring. If you don't understand how I solved this question, I can expand on my thinking. Let me know if it makes sense.

## Answer This Question

## Related Questions

- college algebra - A rectangular auditorium seats 1920 people. The number of ...
- Algebra - A rectangular auditorium seats 1960 people. The number of seats in ...
- Math - An auditorium has 150 rows of seats. The first row has 15 seats, the ...
- Math - An auditorium has 50 rows of seats. The first row has 20 seats, the ...
- Math - an auditorium has 50 rows of seats. THe first row has 20 seats, the row ...
- Math - An auditorium has 30 rows of seats. It has 20 seats on the first row, 24 ...
- Discrete Mathematics - Mathematical sequences can be used to model real life ...
- math - Determine the seating capacity of an auditorium with 10 rows of seats if ...
- math - An auditorium has 49 rows of seats. The first row contains 40 seats. As ...
- Math Problem (please help) - A rectangular classroom seats 252 students. If the ...

More Related Questions