SOLUTION: Please help me solve this problem: Tickets to a local movie were sold at $4 for adults and $2.50 for students. If 100 tickets were sold for a total of $355, how many adult tickets

Algebra ->  Systems-of-equations -> SOLUTION: Please help me solve this problem: Tickets to a local movie were sold at $4 for adults and $2.50 for students. If 100 tickets were sold for a total of $355, how many adult tickets      Log On


   



Question 717623: Please help me solve this problem:
Tickets to a local movie were sold at $4 for adults and $2.50 for students. If 100 tickets were sold for a total of $355, how many adult tickets were sold?
Thank you:)

Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
A+C=100
A=100-C
4A+2.5C=355
4(100-C)+2.5C=355
400-4C+2.5C=355
-1.5C=355-400
-1.5C=-45
C=-45/-1.5
C=30 CHILDREN'S TICKETS WERE SOLD.
A=100-30
A=70 ADULT TICKETS WERE SOLD.
PROOF:
4*70+2.5*30=355
280+75=355
355=355