document.write( "Question 1130663: Use two equations in two variables to solve the application.\r
\n" ); document.write( "\n" ); document.write( "Students can buy tickets to a basketball game for $2. The admission for nonstudents is $3. If 300 tickets are sold and the total receipts are $670, how many student tickets are sold? \n" ); document.write( "

Algebra.Com's Answer #747276 by ikleyn(52793) $\"\"$ $\"About$

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document.write( "Let x be the number of students and y be the number of others.\r\n" );
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document.write( " x +  y = 300    (1)\r\n" );
document.write( "2x + 3y = 670    (2)\r\n" );
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document.write( "To solve the system, multiply eq(1) by 2 (both sides). Keep eq(2) as is.\r\n" );
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document.write( "2x + 2y = 600    (1')\r\n" );
document.write( "2x + 3y = 670    (2')\r\n" );
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document.write( "Subtract eq(1') from eq(2')  (both sides).  You will get\r\n" );
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document.write( "     3y - 2y = 670-600\r\n" );
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document.write( "        y    =  70.\r\n" );
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document.write( "Then from eq(1),  x = 300-70 = 230.\r\n" );
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document.write( "Answer.  230 students tickets were sold.\r\n" );
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