document.write( "Question 1048347: Average movie prices in the United States​ are, in​ general, lower than in other countries. It would cost ​$79.65 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost ​$75.75. How much does an average movie ticket cost in each of these​ countries? \n" ); document.write( "
Algebra.Com's Answer #664039 by ankor@dixie-net.com(22740)\"\" \"About 
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It would cost ​$79.65 to buy three tickets in Japan plus two tickets in Switzerland.
\n" ); document.write( " Three tickets in Switzerland plus two tickets in Japan would cost ​$75.75.
\n" ); document.write( " How much does an average movie ticket cost in each of these​ countries?
\n" ); document.write( ":
\n" ); document.write( "let j = price of a ticket in Japan
\n" ); document.write( "let s = price in Switzerland
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\n" ); document.write( "Write an equation for each statement
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\n" ); document.write( "3j + 2s = 79.65
\n" ); document.write( "2j + 3s = 75.75
\n" ); document.write( "multiply the 1st equation by 3, multiply the 2nd equation by 2
\n" ); document.write( "9j + 6s = 238.95
\n" ); document.write( "4j + 6s = 151.50
\n" ); document.write( "------------------subtraction eliminates s, find j
\n" ); document.write( "5j + 0 = 87.45
\n" ); document.write( "j = 87.45/5
\n" ); document.write( "j = $17.49 in Japan
\n" ); document.write( ":
\n" ); document.write( "Use the 1st equation to find s, replace j with 17.49
\n" ); document.write( "3(17.49) + 2s = 79.65
\n" ); document.write( "52.47 + 2s = 79.65
\n" ); document.write( "2s = 79.65 - 52.47
\n" ); document.write( "2s = 27.18
\n" ); document.write( "s = 27.18/2
\n" ); document.write( "s = $13.59 in Switzerland
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check these solutions in the 2nd equation
\n" ); document.write( "2(17.49) + 3(13.59) = 75.75
\n" ); document.write( "34.98 + 40.77 = 75.75
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