document.write( "Question 660492: Average movie prices in the United States are, in general lower than in other countries. It would cost $79.51 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $75.54. How much does and average movie ticket cost in each of these countries? \n" ); document.write( "
Algebra.Com's Answer #411219 by kevwill(135)\"\" \"About 
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Let s be the average price of a movie ticket in Switzerland and j be the average price of a movie ticket in Japan. So we have:
\n" ); document.write( "(1) 3j + 2s = 79.51
\n" ); document.write( "(2) 2j + 3s = 75.54
\n" ); document.write( "Let's multiply both sides of the first equation by 3 to get:
\n" ); document.write( "(1a) 9j + 6s = 238.53
\n" ); document.write( "And let's multiply both sides of the second equation by 2 to get:
\n" ); document.write( "(2a) 4j + 6s = 151.08
\n" ); document.write( "Subtract equation (2a) from equation (1a):
\n" ); document.write( "9j + 6s - 4j - 6s = 238.53 - 151.08
\n" ); document.write( "Combine like terms:
\n" ); document.write( "5j = 87.45
\n" ); document.write( "Divide both sides by 5:
\n" ); document.write( "j = 17.49
\n" ); document.write( "Substituting 17.49 for j in the first equation:
\n" ); document.write( "3*17.49 + 2s = 79.51
\n" ); document.write( "52.47 + 2s = 79.51
\n" ); document.write( "Subtracting 52.47 from both sides:
\n" ); document.write( "52.47 + 2s - 52.47 = 79.51 - 52.47
\n" ); document.write( "2s = 27.04
\n" ); document.write( "Divide both sides by 2:
\n" ); document.write( "s = 13.52\r
\n" ); document.write( "\n" ); document.write( "So the average ticket price in Japan is $17.49 and the average ticket price in Switzerland is $13.52
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