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Hi,
270 tickets were sold
Let x and (270-x) represent the number of adult and student tickets respectively
Question States***
$6*x + $4.50(270-x) = $1590
solving for x
6x + 4.50*270 - 4.50x = 1590
1.50x = 1590 - 1215
1.50x = 375
x = 250, the number of adult tickets. Student tickets = 20
CHECKING our Answer***
$6*250 + 20*$4.50 = $1590