Question 159037
X=# of adult tickets
260-X= # of student tickets

$ made by selling adult tickets is $4(X)
$ made by selling student tickets is $(260-X)($2)

The equation is 4X +(2)(260-X) =$700

Use the distributive property

$4X + $520 -$2X=$700

Add $4X -$2X= $2X

$2X+ $520=$700 

Subtract $520 from both sides

$2X=$180
X=$90
 
Therefore the # of adult tickets sold were 90, 260-90=# of student tickets sold=170. To confirm plug in values. $4(90)+ 2(170)=$700

$360 + $340= $700