document.write( "Question 982992: A group of adults and kids went to see a movie. Tickets cost $6.50 each for adults and $3.50 each for kids, and the group paid $34.00 in total. There were
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\n" ); document.write( "the group? \n" ); document.write( "

Algebra.Com's Answer #603810 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Instead of doing the problem for you, I will do another one exactly like it, so\r\n" );
document.write( "you can use it as a model to do yours by.  Here is the one that has different\r\n" );
document.write( "numbers.\r\n" );
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\n" ); document.write( "A group of adults and kids went to see a movie. Tickets cost $8.50 each for
\n" ); document.write( "adults and $4.50 each for kids, and the group paid $66.00 in total. There were 6
\n" ); document.write( "fewer adults than kids in the group. How many adults and how many kids were in
\n" ); document.write( "the group?
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document.write( "Make this chart:\r\n" );
document.write( "                        Cost        Cost\r\n" );
document.write( " Type       Number       of          of\r\n" );
document.write( "  of          of        EACH         ALL\r\n" );
document.write( "ticket     tickets      ticket     tickets\r\n" );
document.write( "-------------------------------------------\r\n" );
document.write( "Adults    \r\n" );
document.write( "Kids       \r\n" );
document.write( "-------------------------------------------\r\n" );
document.write( "                           TOTAL \r\n" );
document.write( "\r\n" );
document.write( "

\n" ); document.write( ">>There were 6 fewer adults than kids in the group.<<
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document.write( "Since \"kids\" is mentioned second,  \r\n" );
document.write( "let x = of kids in the group.  So we put x for the\r\n" );
document.write( "number of kids. \r\n" );
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document.write( "Then the number of adults is 6 fewer than that, so we\r\n" );
document.write( "subtract 6 and get x-6 adults. So we put x-6 for the\r\n" );
document.write( "number of adults: \r\n" );
document.write( "\r\n" );
document.write( "                        Cost        Cost\r\n" );
document.write( " Type       Number       of          of\r\n" );
document.write( "  of          of        EACH         ALL\r\n" );
document.write( "ticket     tickets     ticket     tickets\r\n" );
document.write( "-------------------------------------------\r\n" );
document.write( "Adults      x-6       \r\n" );
document.write( "Kids         x        \r\n" );
document.write( "-------------------------------------------\r\n" );
document.write( "                           TOTAL \r\n" );
document.write( "

\n" ); document.write( "Tickets cost $8.50 each for adults and $4.50 each for kids.
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document.write( "So we fill in the cost of each kind of ticket.\r\n" );
document.write( "\r\n" );
document.write( "                        Cost        Cost\r\n" );
document.write( " Type       Number       of          of\r\n" );
document.write( "  of          of        EACH         ALL\r\n" );
document.write( "ticket     tickets      ticket     tickets\r\n" );
document.write( "-------------------------------------------\r\n" );
document.write( "Adults      x-6        $8.50      \r\n" );
document.write( "Kids         x         $4.50      \r\n" );
document.write( "-------------------------------------------\r\n" );
document.write( "                           TOTAL $66.00\r\n" );
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document.write( "To get the Cost of ALL adult tickets we multiply $8.50 \r\n" );
document.write( "times the number of adult tickets which is $8.50(x-6).\r\n" );
document.write( "So we fill that in on the right for the cost of all adult\r\n" );
document.write( "tickets.\r\n" );
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document.write( "To get the Cost of ALL kids tickets we multiply $4.50 \r\n" );
document.write( "times the number of adult tickets which is $4.50x.\r\n" );
document.write( "So we fill that in on the right for the cost of all kid's\r\n" );
document.write( "tickets.  Then by the word TOTAL, we put $66.00 \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "                        Cost        Cost\r\n" );
document.write( " Type       Number       of          of\r\n" );
document.write( "  of          of        EACH         ALL\r\n" );
document.write( "ticket     tickets      ticket     tickets\r\n" );
document.write( "-------------------------------------------\r\n" );
document.write( "Adults      x-6        $8.50      $8.50(x-6)\r\n" );
document.write( "Kids         x         $4.50      $4.50x\r\n" );
document.write( "-------------------------------------------\r\n" );
document.write( "                           TOTAL $66.00\r\n" );
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document.write( "The equation comes from the column on the right\r\n" );
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document.write( "  \r\n" );
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document.write( "8.50(x-6) + 4.50x = 66.00\r\n" );
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document.write( "Get rid of decimals by multiplying every term by 10:\r\n" );
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document.write( "    85(x-6) + 45x = 660\r\n" );
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document.write( "  85x - 510 + 45x = 660\r\n" );
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document.write( "       130x - 510 = 660\r\n" );
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document.write( "             130x = 1170\r\n" );
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document.write( "                 x = 9 = the number of kid's tickets, \r\n" );
document.write( " and the number of kids.\r\n" );
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document.write( "The number of adults tickets is x-6 or 9-6 or 3 adult tickets,\r\n" );
document.write( "and 3 adults.\r\n" );
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document.write( "Checking:   3 Adults is $25.50 and 9 Kids is $40.50\r\n" );
document.write( "            \r\n" );
document.write( "            And indeed $25.50 + $40.50 = $66.00\r\n" );
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document.write( "Now use this as a model and do yours.  It's exactly the same.\r\n" );
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document.write( "Edwin

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