# SOLUTION: A ballet performance brought in \$61,800 o the sale of 3000 tickets. If the tickets sold for \$14 and \$25, how many of each were sold?

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Finance -> SOLUTION: A ballet performance brought in \$61,800 o the sale of 3000 tickets. If the tickets sold for \$14 and \$25, how many of each were sold?      Log On

 Ad: Over 600 Algebra Word Problems at edhelper.com Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Word Problems: Money, Business and Interest Solvers Lessons Answers archive Quiz In Depth

 Question 66211This question is from textbook College Algebra : A ballet performance brought in \$61,800 o the sale of 3000 tickets. If the tickets sold for \$14 and \$25, how many of each were sold?This question is from textbook College Algebra Answer by ptaylor(2052)   (Show Source): You can put this solution on YOUR website!Let x=number sold for \$25 Then 3000-x=number sold for \$14 Now we are told that the amount brought in by the sale of the \$25 tickets (25x) plus the amount brought in by the sale of the \$14 tickets (14(3000-x)) was \$61,800. So our equation to solve is: 25x+14(3000-x)=61,800 simplifying we have 25x+42,000-14x=61,800 collecting x's and subtracting 42,000 from each side: 11x=61,800-42,000 and 11x=19,800 x=1800 number of \$25 tickets sold 3000-x=3000-1800=1200 number of \$14 tickets sold ck 1800(25)+1200(14)=61,800 45,000+16,800=61,800 61,800=61,800 Hope this helps---ptaylor