SOLUTION: Marc sold 464 tickets for the school play. Student tickets cost $2 and adult tickets cost $5. Marc's sales totaled $1654, How many adult and how many student tickets did Marc sell?

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: Marc sold 464 tickets for the school play. Student tickets cost $2 and adult tickets cost $5. Marc's sales totaled $1654, How many adult and how many student tickets did Marc sell?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 38683: Marc sold 464 tickets for the school play. Student tickets cost $2 and adult tickets cost $5. Marc's sales totaled $1654, How many adult and how many student tickets did Marc sell?
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Marc sold 464 tickets for the school play. Student tickets cost $2 and adult tickets cost $5. Marc's sales totaled $1654, How many adult and how many student tickets did Marc sell?
Define variables:
s=number of student tickets
a=number of adult tickets
Define variables:
s+%2B+a+=+464
2s+%2B+5a+=+1654
Combine:
-2s+-+2a+=+-928
+
2s+%2B+5a+=+1654
=
3a+=+726
a+=+242
Fill in:
s+%2B+a+=+464
s+%2B+242+=+464
s+=+222