document.write( "Question 1136679: Average movie prices in the United States are, in general, lower than in other countries. It would cost $78.03 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $74.47. How much does an average movie ticket cost in each of these countries? \n" ); document.write( "

Algebra.Com's Answer #754485 by ikleyn(52786) $\"\"$ $\"About$

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document.write( "3*J + 2*S = 78.03      (1)\r\n" );
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document.write( "2*J + 3*S = 74.47      (2)\r\n" );
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document.write( "Apply the Elimination method. Multiply eq(1) by 2 (both sides); then multiply eq(2) by 3.  You will get\r\n" );
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document.write( "6*J + 4*S = 2*78.03    (3)\r\n" );
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document.write( "6*J + 9*S = 3*74.47    (4)\r\n" );
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document.write( "Now subtract eq(3) from eq(4). You will get\r\n" );
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document.write( "      9S - 4S = 3*74.47 - 2*78.03\r\n" );
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document.write( "      5S = 67.35    =================>  S =  = 13.47.\r\n" );
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document.write( "Substitute this value S= 13.47 into eq(1) and find J:\r\n" );
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document.write( "     3J + 2*13.47 = 78.03\r\n" );
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document.write( "     3J = 78.03 - 2*13.47 = 51.09  ============>  J =  = 17.03.\r\n" );
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document.write( "ANSWER.  $17.03 for Japan and $13.47 for Switzerland (in equivalent money units).\r\n" );
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