document.write( "Question 1100755: A total of 431 tickets were sold to a concert, bringing in a total of $5,332. Two types of tickets were sold: adult tickets were sold for $14 each and student tickets were sold for $8 each. How many adult tickets were sold? \n" ); document.write( "

Algebra.Com's Answer #715297 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Let A be the number of adults tickets.\r\n" );
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document.write( "Then the number of student tickets is (431-A).\r\n" );
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document.write( "Adults tickets cost 14*A  dollars                   (do you understand why ?)\r\n" );
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document.write( "Student tickets cost 8*(431-A) dollars              (do you understand why ?)\r\n" );
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document.write( "In all, the tickets cost  14*A + 8*(431-A) dollars  (do you understand why ?)\r\n" );
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document.write( "This sum is equal to 5332 dollars, according to the condition, and it gives you an equation\r\n" );
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document.write( "14*A + 8*(431-A) = 5332.\r\n" );
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document.write( "It is your major/basic equation, so called \"money\" equation.\r\n" );
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document.write( "Why do we call it \"the money equation\" ? - Because it is based on counting money.\r\n" );
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document.write( "As soon as you got this equation (and understood it), the setup part is completed.\r\n" );
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document.write( "To solve the equation, simplify it step by step:\r\n" );
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document.write( "14A + 3448 - 8A = 5332  ====>  6A = 5332 - 3448 = 1884  ====>  A =  = 314.\r\n" );
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document.write( "Answer.  314 adults tickets were sold.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "This problem can be solved by other methods, too.\r
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\n" ); document.write( "\n" ); document.write( "See the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Using systems of equations to solve problems on tickets \r
\n" ); document.write( "\n" ); document.write( "    - Three methods for solving standard (typical) problems on tickets\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Systems of two linear equations in two unknowns\".\r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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