document.write( "Question 1204764: At the local drive-in theater, the manager sold 200 tickets. Adult tickets cost $9 each, while children's tickets cost $5 each. If the theater sold $1420 worth of tickets, how many adult tickets and how many children's tickets were sold?\r
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Algebra.Com's Answer #841239 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "The formal algebraic solutions provided by the other tutors are fine.

\n" ); document.write( "But you can get good mental exercise, and good problem-solving practice, by solving the problem using logical reasoning and simple mental arithmetic.

\n" ); document.write( "If all 200 tickets were children's tickets, the total cost would be 200($5) = $1000.
\n" ); document.write( "The actual total cost was $1420-$1000 = $420 more than that.
\n" ); document.write( "Each adult ticket costs $4 more than each children's ticket.
\n" ); document.write( "The number of adult tickets sold was $420/$4 = 105.

\n" ); document.write( "ANSWER: 105 adult tickets and 200-105 = 95 children's tickets.

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