SOLUTION: adult tickets cost $2 more than student tickets. 100 students and 200 adults =$850. student ticket costs?

Algebra ->  Average -> SOLUTION: adult tickets cost $2 more than student tickets. 100 students and 200 adults =$850. student ticket costs?      Log On


   

Question 406634: adult tickets cost $2 more than student tickets. 100 students and 200 adults =$850. student ticket costs?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
adult tickets:x
student tickets: y
100 students:100y
and
200 adults : 200x

200x+%2B+100y+=+850

adult tickets cost $2 more than student tickets: 200%28y%2B2%29

200%28y%2B2%29%2B+100y=850 .....find y
200y%2B400%2B+100y=850
300y+=850-400
300x=450
y=450%2F300
y=1.5..........student tickets
x=1.5%2B2=3.5....adult tickets

check:
200%283.5%29%2B100%281.5%29=850
700%2B150%29=850
850%29=850