document.write( "Question 1013885: Average movie prices in the United States are, in general, lower than in other countries. It would cost $81.22 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $77.18 . How much does an average movie ticket cost in each of these countries?
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document.write( "Japan the average cost is $___
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document.write( "Switzerland the average cost is $___
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Algebra.Com's Answer #630263 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! It would cost $81.22 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 $77.18 . \n" ); document.write( " How much does an average movie ticket cost in each of these countries? \n" ); document.write( ": \n" ); document.write( "let s = the cost of ticket in Switzerland \n" ); document.write( "let j = the cost in Japan \n" ); document.write( ": \n" ); document.write( "Write an equation for each transaction, we will use elimination here. \n" ); document.write( ": \n" ); document.write( "3j + 2s = 81.22 \n" ); document.write( "2j + 3s = 77.18 \n" ); document.write( "multiply the 1st eq by 3, and the 2nd eq by 2 \n" ); document.write( "9j + 6s = 243.66 \n" ); document.write( "4j + 6s = 154.36 \n" ); document.write( "------------------- \n" ); document.write( "5j + 0 = 89.30 \n" ); document.write( "j = 89.30/5 \n" ); document.write( "j = $17.86, the cost of a ticket in Japan \n" ); document.write( ": \n" ); document.write( "Use the 1st equation to find s, replace j with 89.30 \n" ); document.write( "3(17.86) + 2s = 81.22 \n" ); document.write( "53.58 + 2s = 81.22 \n" ); document.write( "2s = 81.22 - 53.58 \n" ); document.write( "2s = 27.64 \n" ); document.write( "s = 27.64/2 \n" ); document.write( "s = $13.82 the cost of a ticket in Switzerland \n" ); document.write( ": \n" ); document.write( "; \n" ); document.write( "Use the 2nd equation; 2j + 3s = 77.18, to check our answers \n" ); document.write( "2(17.86) + 3(13.82) = 77.18 \n" ); document.write( "35.72 + 41.46 = 77.18 \n" ); document.write( "7718 = 77.18, confirms our solutions \n" ); document.write( ": \n" ); document.write( "; \n" ); document.write( " Japan the average cost is $_17.86__ \n" ); document.write( "Switzerland the average cost is $_13.82__ \n" ); document.write( " |