document.write( "Question 1018923: The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School B rented and filled 4 vans and 12 buses with 780 students. Each can and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry? \n" ); document.write( "

Algebra.Com's Answer #634953 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School B rented and filled 4 vans and 12 buses with 780 students. Each can and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?
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document.write( "Your equations are\r\n" );
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document.write( "1*v +  6*b = 372,    (1)\r\n" );
document.write( "4*v + 12*b = 780,    (2)\r\n" );
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document.write( "where v is a van capacity and b is a bus capacity.\r\n" );
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document.write( "Now express v = 372 - 6b from (1) and substitute it into (2). In this way you exclude v and obtain a single equation for b:\r\n" );
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document.write( "4*(372-6b) + 12b = 780.\r\n" );
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document.write( "Can you complete the solution on your own?\r\n" );
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