Question

3. There are 48 rows in an auditorium. Each row has 14 seats.
How many people can be seated in the auditorium at a time?​

Answer 1

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The number of seats in the first row is 18;

The number of seats in the second row is 18+2=20;

The number of seats in the third row is 18+2*2=22;

The number of seats in the fourth row is 18+3*2=24;

...

The number of seats in the nth row is 18+(n-1)*2.

Notice that if we knew the total number of rows we would be able to sum the number of seats in each row and get the total number of seats.

(1) The number of rows of seats in the auditorium is 27. Sufficient.

(2) The number of seats in the last row is 70 --> 18+(n-1)*2=70, where n is the number of rows. We can get n. Sufficient.