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What is70 chairs divided into 20 rows?

Updated: 4/28/2022
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Selena Halvorson

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70 chairs cannot be divided into 20 rows with the same number of chairs, but the most even distribution is 10 rows with 4 chairs and 10 with 3 chairs

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Q: What is70 chairs divided into 20 rows?
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What are the different ways to arrange 100 chairs using the factors of 100?

1 row of 100 chairs. 2 rows of 50 chairs. 4 rows of 25 chairs. 5 rows of 20 chairs. 10 rows of 10 chairs. 20 rows of 5 chairs. 25 rows of 4 chairs. 50 rows of 2 chairs. 100 rows of 1 chair. Or you could put them all in one big circle.


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to begin with there are 24 rows and 25 chairs in a row r = number of rows c = number of chairs in a row 600 chairs total: RC = 600 Adding 5 more chairs allows you to remove 4 rows: (c + 5) (r - 4) = 600 (c + 5) (r - 4) = RC RC + 5r - 4c - 20 = RC 5r - 4c - 20 = 0 5r - 4(600/r) - 20 = 0 5r^2 - 2400 - 20r = 0 5r^2 - 20r - 2400 = 0 r^2 - 5r - 480 = 0 (r-24) (r+20) = 0 r = 24 or r = -20 If r = 24, then c = 600/24 = 25 24 rows of 25 chairs each to begin with Check your work: 24-4 = 20, 25+5 = 30, 30*20 = 600 Check.


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