document.write( "Question 1026404: I need help with this problem, Santo paid $16.25 to buy 5 children tickets and 1 adult ticket. Hulda paid $24.00 to buy 4 children tickets and 3 adult tickets. If both people paid the same price per ticket, what was the price of an adult ticket? \n" ); document.write( "

Algebra.Com's Answer #641642 by ikleyn(53751) $\"\"$ $\"About$

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\n" ); document.write( "I need help with this problem, Santo paid $16.25 to buy 5 children tickets and 1 adult ticket.
\n" ); document.write( "Hulda paid $24.00 to buy 4 children tickets and 3 adult tickets.
\n" ); document.write( "If both people paid the same price per ticket, what was the price of an adult ticket?
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document.write( "5*c + 1*a = 1625,     (1)      (Santo paid)\r\n" );
document.write( "4*c + 3*a = 2400.     (2)      (Hulda paid)\r\n" );
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document.write( "where \"c\" is for children ticket price and \"a\" is for the adult ticket price.\r\n" );
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document.write( "Now, from (1) express a = 1625 - 5c, and substitute it into (2). You will get\r\n" );
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document.write( "4c + 3*(1625 -5c) = 2400.\r\n" );
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document.write( "Simplify and solve for c:\r\n" );
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document.write( "4c + 4875 - 15c = 2400,\r\n" );
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document.write( "-11c = 2400 - 4875,\r\n" );
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document.write( "-11c = -2475,\r\n" );
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document.write( "c =  = 225.\r\n" );
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document.write( "So the children ticket is 225 cents = $2.25.\r\n" );
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document.write( "The adult ticket is (from (1)) a = 1625 - 5*c = 1625 - 5*225 = 500 cents = $5.\r\n" );
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