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28 November, 22:59

the first row of an adutorium has 42 seats and each row after has 3 more than the row before it. How many seats are in row 25 and which row has 90 seats?

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  1. 29 November, 01:18
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    Algebra time.

    We start with 42, this is our base number, we cannot go below this one. Since we add 3 chairs every row, then we add 3 (x) to every row after the first one. The first row has 42 chairs. The second has 42 + 3 (1), and the third row has 42 + 3 (2). X is going to be one less than the row number you're in. So for the 25th row we do 42 + 3 (24). And for the one with 90 seats we have 42 + 48 = 90. There's a difference of 48 chairs between 42 and 90. So we divide 48 by 3 to see the value of x. 48/3 is 16, so the equation is 42 + 3 (16) = 90. Therefore we're on the seventeenth row. An easier way is to start at 39 (42-3) and then do 39 + 3 (1) as the first row.
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