3.5
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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
20
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.
five and three fifths = 28 / 5 = 196 / 35 4 / 7 = 20 / 35 divide top rows = 196 / 20 = 9.8 / 1 = 9.8
0.05
Having the same number of students in each row, 80 students can be arranged in 80 rows of 1, 40 rows of 2, 20 rows of 4, 10 rows of 8, and 5 rows of 16.