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)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement \n" ); document.write( ": \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 \n" ); document.write( " |