SOLUTION: For a certain event, 821 tickets were sold, for a total of $1933. If students paid $2 per ticket and nonstudents paid $3 per ticket, how many student tickets were sold?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: For a certain event, 821 tickets were sold, for a total of $1933. If students paid $2 per ticket and nonstudents paid $3 per ticket, how many student tickets were sold?       Log On


   

Question 491436: For a certain event, 821 tickets were sold, for a total of $1933. If students paid $2 per ticket and nonstudents paid $3 per ticket, how many student tickets were sold?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
If students and ticket and non-students ticket are x and y,
and 821 tickets were sold, we have
x%2By=821..........1

for a total of $1933, students paid $2 per ticket and non-students paid $3 per ticket
2x%2B3y=1933..........2
------------------------------
x%2By=821..........1 ...solve for x
x=821-y....plug it in 2


2x%2B3y=1933..........2
2%28821-y%29%2B3y=1933..solve for y
1642-2y%2B3y=1933
y=1933-1642
highlight%28y=291%29........291 non-student tickets were sold
x=821-y
x=821-291
x=highlight%28530%29.........530 student tickets were sold

530%2A2=1060........total cost of student tickets
291%2A3=873........total cost of non-student tickets