document.write( "Question 1093376: Tickets to a school concert were priced at $50, $150, and $250. The $150 tickets sold were twice as many as $250 ones. $50 tickets were 4 times as many as $250 and $150 tickets combined together. If the gross receipts at the gate totalled $69,000, how many of each ticket were sold? \n" ); document.write( "

Algebra.Com's Answer #708049 by richwmiller(17219) $\"\"$ $\"About$

You can put this solution on YOUR website!
f=$50 tickets
\n" ); document.write( "o=$150 tickets
\n" ); document.write( "t=$250 tickets
\n" ); document.write( "o=2t
\n" ); document.write( "f=4(t+o)
\n" ); document.write( "50f+150o+250t=69000
\n" ); document.write( "5f+15o+25t=6900
\n" ); document.write( "now let's substitute
\n" ); document.write( "20(t+o)+15o+25t=6900
\n" ); document.write( "20t+20o+15o+25t=6900
\n" ); document.write( "35o+45t=6900
\n" ); document.write( "35*2t+45t=6900
\n" ); document.write( "115t=6900
\n" ); document.write( "t=6900/115
\n" ); document.write( "t=60
\n" ); document.write( "o=120
\n" ); document.write( "f=4(180)=720
\n" ); document.write( "check
\n" ); document.write( "50*720+150*120+60*250=69000
\n" ); document.write( "69000=69000
\n" ); document.write( "ok\r
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