SOLUTION: Six hundred people attended the premiere of a motion picture. Adult tickets cost $7, and children were admitted for $2. If box office receipts totaled $3950, how many children atte

Algebra ->  Equations -> SOLUTION: Six hundred people attended the premiere of a motion picture. Adult tickets cost $7, and children were admitted for $2. If box office receipts totaled $3950, how many children atte      Log On


   

Question 264164: Six hundred people attended the premiere of a motion picture. Adult tickets cost $7, and children were admitted for $2. If box office receipts totaled $3950, how many children attended the premiere?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
A+C=600 or C=600-A
7A+2C=3,950
7A+2(600-A)=3,950
7A+1,200-2A=3,950
5A=3,950-1,200
5A=2,750
A=2,750/5
A=550 ADULT TICKETS WERE SOLD.
600-550=50 CHILDREN'S TICKETS WERE SOLD.
PROOF:
7*550+2*50=3,950
3,850+100=3,950
3,950=3,950