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12 March, 04:48

An auditorium has 80 rows of seats and the number of seats per row increases at a constant rate. If there are 32 seats in the 8th row, and 68 seats in the 20th row, how many seats are in the last row?

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  1. 12 March, 04:59
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    To find how many seats in the 80th row, you need to figure out the pattern from the 8th row to the 20th row.

    To do this, you can create a table showing possibilities from the 8th to the 20th.

    I started with 32 at the 8th and added 2 each time. This was only 56 by the 20th.

    Then I added 3, and this got me to 68 by the 20th row.

    Then you can work backwards to find how many seats in the 1st row. I got 11.

    From here you can create an equation that you could use to solve for the 80th row.

    11 + 3 (r - 1), where r is the number of rows.

    Substitute in 80 for r.

    11 + 3 (80 - 1)

    11 + 237

    248 seats

    There are 248 seats in the 80th row.
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