Questions on Algebra: Proportions answered by real tutors!

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Question 154553This question is from textbook Mathematics for Elem. Sch. Teachers
: For a certain event, 812 tickets were sold, for a total of $1912. If students paid $2 per ticket and nonstudents paid $3 per ticket, how many student tickets were sold?This question is from textbook Mathematics for Elem. Sch. Teachers
: For a certain event, 812 tickets were sold, for a total of $1912. If students paid $2 per ticket and nonstudents paid $3 per ticket, how many student tickets were sold?
Answer by checkley77(3380) About Me  (Show Source):
You can put this solution on YOUR website!
2x+3(812-x)=1912
2x+2436-3x=1912
-x=1912-2436
-x=-524
x=524 number of $2 tickets.
812-524=288 number of $3 tickets.
proof:
2*524+3*288=1912
1048+864=1912
1912=1912