document.write( "Question 1064345: Please help me with this question:\r
\n" ); document.write( "\n" ); document.write( "Tickets at a basketball game were $4 for an adult and $2 for a student. The total number of tickets sold was 300. If the sales of tickets was $800, how many tickets of each were sold?\r
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Algebra.Com's Answer #679395 by ikleyn(52775) $\"\"$ $\"About$

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\n" ); document.write( "Tickets at a basketball game were $4 for an adult and $2 for a student. The total number of tickets sold was 300.
\n" ); document.write( "If the sales of tickets was $800, how many tickets of each were sold?\r
\n" ); document.write( "\n" ); document.write( "Thank you!
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\n" ); document.write( "\n" ); document.write( "Two ways to solve.\r
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\n" ); document.write( "\n" ); document.write( "Solution 1. Two equations\r
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document.write( " A +  S = 300,   (1)\r\n" );
document.write( "4A + 2S = 800.   (2)   (the \"value\" equation)\r\n" );
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document.write( "Divide eq.(2) by 2 (both sides). Rewrite you system as\r\n" );
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document.write( " A + S = 300,    (1')\r\n" );
document.write( "2A + S = 400.    (2')\r\n" );
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document.write( "Distract eq.(2') from (1') (both sides). You will get\r\n" );
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document.write( "A = 100.\r\n" );
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document.write( "Answer. 100 adults tickets and 300-100 = 200 student tickets.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solution 2. One equation\r
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document.write( "Let \"A\" be the number of adults' tickets.\r\n" );
document.write( "Then the number of students' tickets is 300-A.\r\n" );
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document.write( "The value equation is \r\n" );
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document.write( "4A + 2*(300-A) = 800.\r\n" );
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document.write( "Simplify and solve for A.\r\n" );
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