document.write( "Question 1037965: The cost to attend a college baseball game is $5 except for students, who are admitted for $1.50.
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Algebra.Com's Answer #652644 by Edwin McCravy(20065)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Let the number of fan tickets sold be x\r\n" );
document.write( "Let the number of students' tickets be y\r\n" );
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document.write( "                      Money       Money\r\n" );
document.write( "Type       Number      from       from\r\n" );
document.write( " of          of        EACH        ALL\r\n" );
document.write( "ticket     tickets    ticket     tickets\r\n" );
document.write( "-------------------------------------------\r\n" );
document.write( "fans'          x      $5.00       $5.00x\r\n" );
document.write( "students'      y      $1.50       $1.50y\r\n" );
document.write( "-------------------------------------------\r\n" );
document.write( "TOTALS       310      -----    $1119.50\r\n" );
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document.write( "The first equation comes from the \"Number of tickets\" column.\r\n" );
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document.write( "  \"%28matrix%283%2C1%2CNumber%2Cof%2Cfans%29%29\"\"%22%22%2B%22%22\"\"%28matrix%283%2C1%2CNumber%2Cof%2Cstudents%29%29\"\"%22%22=%22%22\"\"%28matrix%284%2C1%2Ctotal%2Cnumber%2Cof%2Ctickets%29%29\"\r\n" );
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document.write( "                   x + y = 310\r\n" );
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document.write( " The second equation comes from the \"Money from all tickets\" column.\r\n" );
document.write( "  \"%28matrix%285%2C1%2CMoney%2Cfrom%2CALL%2Cfan%2Ctickets%29%29\"\"%22%22%2B%22%22\"\"%28matrix%285%2C1%2CMoney%2Cfrom%2CALL%2C%22students%27%22%2Ctickets%29%29\"\"%22%22=%22%22\"\"%28matrix%285%2C1%2CTotal%2Cmoney%2Cfrom%2CALL%2Ctickets%29%29\"\r\n" );
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document.write( "           5.00x + 1.50y = 1119.50\r\n" );
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document.write( "Get rid of decimals by multiplying every term by 10:\r\n" );
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document.write( "               50x + 15y = 11195\r\n" );
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document.write( " So we have the system of equations:\r\n" );
document.write( "           \"system%28x+%2B+y+=+310%2C50x+%2B+15y+=+11195%29\".\r\n" );
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document.write( "We solve by substitution.  Solve the first equation for y:\r\n" );
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document.write( "           x + y = 310\r\n" );
document.write( "               y = 310 - x\r\n" );
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document.write( "Substitute (310 - x) for y in 50x + 15y = 11195\r\n" );
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document.write( "   50x + 15(310 - x) = 11195\r\n" );
document.write( "    50x + 4650 - 15x = 11195\r\n" );
document.write( "          35x + 4650 = 11195\r\n" );
document.write( "                 35x = 654\r\n" );
document.write( "                   x = 187 = the number of fan tickets.\r\n" );
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document.write( "Substitute in y = 310 - x\r\n" );
document.write( "              y = 310 - (187)\r\n" );
document.write( "              y = 123 students' tickets.\r\n" );
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document.write( "Checking:  187 fan tickets brought in $9350 and 123 students' tickets\r\n" );
document.write( "            brought in $184.50.  That's 310 tickets.\r\n" );
document.write( "            And indeed $9350 + $184.50 = $1119.50\r\n" );
document.write( "Edwin

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