document.write( "Question 1143582: A youth club held a pancake breakfast to raise money for a trip. Tickets were $4 for children and $6.50 for adults. If 290 tickets were sold and the group took in $1680, find the number of adults and the number of children that attended the breakfast.
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Algebra.Com's Answer #764424 by ikleyn(52879) $\"\"$ $\"About$

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document.write( "Let x = # of adult tickets, y = # of child tickets.\r\n" );
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document.write( "From the condition, you have these 2 equations\r\n" );
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document.write( "         x +        y = 290        (1)    (counting tickets)\r\n" );
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document.write( "     6.50*x +  4.00*y = 1680       (2)    (counting money)\r\n" );
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document.write( "From equation (1), express  y = 290 - x  and substitute it into equation (2). You will get\r\n" );
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document.write( "      6.50x + 4.00*(290-x) = 1680.\r\n" );
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document.write( "Express x and calculate answer\r\n" );
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document.write( "    x =  = 208.\r\n" );
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document.write( "Then from equation (1),  y = 290 - 208 = 82.\r\n" );
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document.write( "ANSWER.  208 adult tickets and 82 child tickets.\r\n" );
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document.write( "CHECK.   208*6.50 + 82*4.00 = 1680.00 dollars.   ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "The problem is solved using 2-equation setup and the Substitution method.\r
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\n" ); document.write( "\n" ); document.write( "It is a standard and typical ticket problem.\r
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\n" ); document.write( "\n" ); document.write( "For ticket problems, read 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
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\n" ); document.write( "\n" ); document.write( "From these lessons, learn on how to solve such problems once and for all.\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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