document.write( "Question 1176912: Jen Butler has been pricing speed-pass train fares for a group trip to New York. Three adults and four children must pay $136. Two adults and three children must pay $97. Find the price of the adult's ticket and the price of the child's ticket. \n" ); document.write( "

Algebra.Com's Answer #804992 by ikleyn(52810) $\"\"$ $\"About$

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\n" ); document.write( "Jen Butler has been pricing speed-pass train fares for a group trip to New York.
\n" ); document.write( "Three adults and four children must pay $136. Two adults and three children must pay $97.
\n" ); document.write( "Find the price of the adult's ticket and the price of the child's ticket.
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document.write( "From the condition, you have these two equations\r\n" );
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document.write( "    3A + 4C = 136\r\n" );
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document.write( "    2A + 3C =  97.\r\n" );
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document.write( "To find A and C, use the determinant method (= Cramer's rule)\r\n" );
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document.write( "    A =  = 20 dollars for each adult tickets\r\n" );
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document.write( "    C =  = 19 dollars for each child's ticket.\r\n" );
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