Question 1205847
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1/2 of the chairs are arranged in long rows; 3/7 of them are arranged in short rows. The remainder are stacked in a corner.<br>
1/2 + 3/7 = 7/14 + 6/14 = 13/14<br>
(a) ANSWER: 1 - 13/14 = 1/14 of the chairs are stacked in the corner.<br>
Using the fractions 7/14 and 6/14 from the preceding calculation....<br>
let 7x = number of chairs in the 7 long rows
let 6x = number of chairs in the 18 short rows<br>
Then the number of chairs in each long row is 7x/7 = x
And the number of chairs in each short row is 6x/18 = x/3<br>
The number of chairs in each long row is 18 more than the number in each short row:<br>
x - (x/3) = 18
(2/3)x = 18
x = 18(3/2) = 27<br>
(b) ANSWER: the number of chairs in long rows is 7x = 7*27 = 189<br>