document.write( "Question 1210416: The water park is a popular field trip destination. This year the senior class at High School A and
\n" ); document.write( "the senior class at High School B both planned trips there. The senior class at High School A
\n" ); document.write( "rented and filled 10 vans and 8 buses with 394 students. High School B rented and filled 5 vans
\n" ); document.write( "and 10 buses with 365 students. Every van had the same number of students in it as did the
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Algebra.Com's Answer #852371 by ikleyn(52898) $\"\"$ $\"About$

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\n" ); document.write( "The water park is a popular field trip destination. This year the senior class at High School A and
\n" ); document.write( "the senior class at High School B both planned trips there. The senior class at High School A
\n" ); document.write( "rented and filled 10 vans and 8 buses with 394 students. High School B rented and filled 5 vans
\n" ); document.write( "and 10 buses with 365 students. Every van had the same number of students in it as did the
\n" ); document.write( "buses. Find the number of students in each van and in each bus.
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document.write( "Let x be the number of students per van, and\r\n" );
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document.write( "let y be the number of students per bus.\r\n" );
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document.write( "Write equations as you read the problem\r\n" );
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document.write( "    10x +  8y = 394,    (1)\r\n" );
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document.write( "     5x + 10y = 365.    (2)\r\n" );
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document.write( "Solve the system by the Elimination method.\r\n" );
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document.write( "For it, multiply equation (2) by 2 (both sides).  Keep equation (1) as is\r\n" );
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document.write( "    10x +  8y = 394,     (1')\r\n" );
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document.write( "    10x + 20y = 730.     (2')\r\n" );
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document.write( "From equation (2') subtract equation (1').  You will get\r\n" );
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document.write( "          20y - 8y = 730 - 394,\r\n" );
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document.write( "              12y  =    336\r\n" );
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document.write( "                y  =    436/12 = 28.\r\n" );
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document.write( "Now from equation (1) find x, substituting x = 28 there\r\n" );
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document.write( "    10x + 8*28 = 394,\r\n" );
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document.write( "    10x = 394 - 8*28 = 170,\r\n" );
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document.write( "      x              = 170/10 = 17.\r\n" );
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document.write( "ANSWER.  17 students in each van and 28 students in each bus.\r\n" );
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