# SOLUTION: A movie theater sells adult tickets at \$5.50 a ticket and \$3.50 for a childs ticket. How many of each ticket was sold if 21 tickets were bought for \$83.50

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: A movie theater sells adult tickets at \$5.50 a ticket and \$3.50 for a childs ticket. How many of each ticket was sold if 21 tickets were bought for \$83.50      Log On

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

 Word Problems: Mixtures Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Mixture Word Problems Question 19184: A movie theater sells adult tickets at \$5.50 a ticket and \$3.50 for a childs ticket. How many of each ticket was sold if 21 tickets were bought for \$83.50Answer by Paul(988)   (Show Source): You can put this solution on YOUR website!adults = x childern = y x+y=21 y=21-x (equation 1) 5.5x+3.5y=83.5 (sub in equation 1) 5.5x+3.5(21-x)=83.5 5.5x+73.5-3.5x=83.5 2x+73.5-73.5=83.5-73.5 2x=10(divide both sides by 2) x=5 21-5 = 16 Therefore there were 5 adults and 16 childerns