SOLUTION: tickets for a concert were priced at $9 for students and $11 for nonstudents. there were 2,000 tickets sold for a total of $20,960. how many student ticket were sold?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: tickets for a concert were priced at $9 for students and $11 for nonstudents. there were 2,000 tickets sold for a total of $20,960. how many student ticket were sold?      Log On


   

Question 545063: tickets for a concert were priced at $9 for students and $11 for nonstudents. there were 2,000 tickets sold for a total of $20,960. how many student ticket were sold?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let s = number of student tickets sold
Let n = number of non-student tickets sold
given:
(1) +s+%2B+n+=+2000+
(2) +9s+%2B+11n+=+20960+
--------------------
Multiply both sides of (1) by 9 and
subtract (1) from (2)
(2) +9s+%2B+11n+=+20960+
(1) +-9s+-+9n+=+-18000+
+2n+=+2960+
+n+=+1480+
and, since
(1) +s+%2B+n+=+2000+
(1) +s+%2B+1480+=+2000+
(1) +s+=+520+
520 student tickets were sold
check answer:
(2) +9%2A520+%2B+11%2A1480+=+20960+
(2) +4680+%2B+16280+=+20960+
(2) +20960+=+20960+
OK