Cindy arranged 240 chairs in 3 rows. there were 8 more chairs in the first row than the second row. the number of chairs in the third row was twice the total number of chairs in the first two rows. How many fewer chairs were there in the first row than in the third row.
(Please give the answer with the method. the first correct answer will be marked as brainlist)
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let no. of chairs in 2nd row be x
so, no. of chairs in 1st row = x + 8
so, no. of chairs in 3rd row = 2(x + x+ 8) = 4x + 16
difference between first and third rows:
(4x + 16) - (x+ 8) = 3x + 8
total no. of chairs = 240 = x + x + 8 + 4x + 16 = 6x + 24
so, 6x + 24 = 240
so, x + 4 = 40
so, x = 36
so, 3x + 8 = 116
therefore difference between 1st and 3rd rows is 116.
so, no. of chairs in 1st row = x + 8
so, no. of chairs in 3rd row = 2(x + x+ 8) = 4x + 16
difference between first and third rows:
(4x + 16) - (x+ 8) = 3x + 8
total no. of chairs = 240 = x + x + 8 + 4x + 16 = 6x + 24
so, 6x + 24 = 240
so, x + 4 = 40
so, x = 36
so, 3x + 8 = 116
therefore difference between 1st and 3rd rows is 116.
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