document.write( "Question 594003: Please help...these word problems are very humbling for me... \r
\n" ); document.write( "\n" ); document.write( "Average movie prices in general are lower in the United States than in other countries. It would cost $81.35 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $77.05. How much does an average movie cost in each of these countries?\r
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Algebra.Com's Answer #376577 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
Please help...these word problems are very humbling for me... \r
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document.write( "Word problems are only a matter of translating English sentences into \r\n" );
document.write( "Algebra sentences.\r\n" );
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\n" ); document.write( ">>...It would cost $81.35 to buy three tickets in Japan plus two tickets in Switzerland...<<
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document.write( "That English sentence translates into this Algebra sentence:\r\n" );
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document.write( "                   3J + 2S = 81.35\r\n" );
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\n" ); document.write( ">>...Three tickets in Switzerland plus two tickets in Japan would cost $77.05....<<
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document.write( "That English sentence translates into this Algebra sentence:\r\n" );
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document.write( "                   3S + 2J = 77.05\r\n" );
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document.write( "Solve the system of equations:\r\n" );
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document.write( "3J + 2S = 81.35\r\n" );
document.write( "3S + 2J = 77.05\r\n" );
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document.write( "Reverse the terms on the left of one of the equations so\r\n" );
document.write( "like letters will line up vertically, so we can solve the\r\n" );
document.write( "system by elimination rather than substitution.\r\n" );
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document.write( "3J + 2S = 81.35\r\n" );
document.write( "2J + 3S = 77.05\r\n" );
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document.write( "This is more easily solved by elimination since there is\r\n" );
document.write( "no term J, -J, S or -S.  If there had been, substitution\r\n" );
document.write( "would have been easier.\r\n" );
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document.write( "Multiply the first equation through by -2 and the second \r\n" );
document.write( "one through by +3\r\n" );
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document.write( "-6J - 4S = -162.70\r\n" );
document.write( " 6J + 9S =  231.15\r\n" );
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document.write( "      5S = 68.45\r\n" );
document.write( "       S = 13.69\r\n" );
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document.write( "Start over to find J\r\n" );
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document.write( "3J + 2S = 81.35\r\n" );
document.write( "2J + 3S = 77.05\r\n" );
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document.write( "Multiply the first equation through by -3 and the second \r\n" );
document.write( "one through by 2\r\n" );
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document.write( "-9J - 6S = -244.05\r\n" );
document.write( " 4J + 6S =  154.10\r\n" );
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document.write( "-5J      =  -89.95\r\n" );
document.write( "       J =   17.99 \r\n" );
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document.write( "Answer: An average movie ticket costs $17.99 in Japan and $13.69 \r\n" );
document.write( "in Switzerland.\r\n" );
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document.write( "Edwin
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