document.write( "Question 1012491: How to solve this problem
\n" ); document.write( " Johnson family bought 4 adult tickets and 2 child tickets for a total of $37 to the movies. And the Gonzalez family bought 3 adult tickets and 4 child tickets for a total of $39. What is the price of each type of ticket(adult and child) at this movie theater \n" ); document.write( "

Algebra.Com's Answer #628436 by ikleyn(52795) $\"\"$ $\"About$

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\n" ); document.write( "How to solve this problem
\n" ); document.write( " Johnson family bought 4 adult tickets and 2 child tickets for a total of $37 to the movies. And the Gonzalez family bought 3 adult tickets and 4 child tickets for a total of $39. What is the price of each type of ticket(adult and child) at this movie theater
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document.write( "From the condition, you have this system of two equations:\r\n" );
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document.write( "4a + 2c = 37,   (1)\r\n" );
document.write( "3a + 4c = 39.   (2)\r\n" );
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document.write( "where unknowns a and c are the ticket costs for adult and children respectively.\r\n" );
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document.write( "To solve it, multiply equation (1) by (-2) (both sides) and then add to the equation (2). You will get\r\n" );
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document.write( "-8a + 3a = -2*37 + 39,   or\r\n" );
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document.write( "-5a = -35.\r\n" );
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document.write( "Therefore, a =  = 7 dollars is the price for the adult ticket.\r\n" );
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document.write( "Now try yourself to complete the solution.\r\n" );
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