SOLUTION: A school sold 200 tickets to a play. Ticket prices were $8 per adult and $5 per child. If the total sales for the tickets came to $1414, how many children 's tickets were sold?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A school sold 200 tickets to a play. Ticket prices were $8 per adult and $5 per child. If the total sales for the tickets came to $1414, how many children 's tickets were sold?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 625656: A school sold 200 tickets to a play. Ticket prices were $8 per adult and $5 per child. If the total sales for the tickets came to $1414, how many children 's tickets were sold?
Answer by reynard2007(52) About Me  (Show Source):
You can put this solution on YOUR website!

Let x be the number of tickets sold to adults. If there are 200 tickets sold in total, the number of tickers sold to children is 200-x. To solve this, we setup the equation and it should look like this:
 
8x%2B5%28200-x%29=1414
8x%2B1000-5x=1414
3x=414
x=138
 
138 tickets were sold to adults and 62 to children.