SOLUTION: At the movie theatre, child admission is $5.50 and adult admission is $8.60 . On Monday, 120 tickets were sold for a total sales of $824.30 . How many child tickets were sold that

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: At the movie theatre, child admission is $5.50 and adult admission is $8.60 . On Monday, 120 tickets were sold for a total sales of $824.30 . How many child tickets were sold that       Log On


   

Question 1139202: At the movie theatre, child admission is $5.50 and adult admission is $8.60 . On Monday, 120 tickets were sold for a total sales of $824.30 . How many child tickets were sold that day?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = number of child tickets sold
+120+-+x+ = number of adult tickets sold
-----------------------------------------------
+5.5x+%2B+8.6%2A%28+120+-+x+%29+=+824.3+
+5.5x+%2B+1032+-+8.6x+=+824.3+
+-3.1x+=+-207.7+
+x+=+67+
and
+120+-+x+=+120+-+67+
+120+-+x+=+53+
---------------------------
67 child tickets were sold
check:
+5.5x+%2B+8.6%2A%28+120+-+x+%29+=+824.3+
+5.5%2A67+%2B+8.6%2A53+=+824.3+
+368.5+%2B+455.8+=+824.3+
+824.3+=+824.3+
OK