SOLUTION: student tickets to a movie are $1 and non-student tickets are $2. 350 tickets are sold and the amount made is $450. write the system of equations that describe this situation and t

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: student tickets to a movie are $1 and non-student tickets are $2. 350 tickets are sold and the amount made is $450. write the system of equations that describe this situation and t      Log On


   



Question 1028922: student tickets to a movie are $1 and non-student tickets are $2. 350 tickets are sold and the amount made is $450. write the system of equations that describe this situation and then solve the system to determine the number of student and non-student tickets
How do I write this out in a system of solutions?

Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Make student tickets = x
Make non-student tickets = y
x + y = 350....(1)
x + 2y = 450...(2)
Subtract Eq(1) from Eq(2)
....y = 100
Substitute y = 100 in
Eq(1)
x + y = 350......(1)
x + 100 = 350
x = 350 - 100
x = 250
250 Student tickets were sold
100 non-Student tickets were sold.
Hope this helps :-)