document.write( "Question 971452: Tickets to a concert cost $2 for children and $5 for adults. If 630 people attended the concert and the ticket sales totaled $2,910, how many children attended the concert? \n" ); document.write( "
Algebra.Com's Answer #593949 by erica65404(394)\"\" \"About 
You can put this solution on YOUR website!
make 2 equations
\n" ); document.write( "one for the total amount of people and one for the amount of tickets sold\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x=children
\n" ); document.write( "y=adults\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%2By=630\"
\n" ); document.write( "there are 630 people total. you add the children and adults together to find the total.\r
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\n" ); document.write( "\n" ); document.write( "\"2x%2B5y=2910\"
\n" ); document.write( "the total amount of ticket sales is the adult sales and the children sales combined.
\n" ); document.write( "The sales of the children tickets is the $2 times the number of tickets.
\n" ); document.write( "The sales of the adult tickets is the $5 times the number of tickets.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%2By=630\" can be solved for y
\n" ); document.write( "\"x-x%2By=630-x\"
\n" ); document.write( "\"0%2By=630-x\"
\n" ); document.write( "\"y=630-x\"
\n" ); document.write( "This can be used to find x in the other problem.
\n" ); document.write( "\"2x%2B5y=2910\"
\n" ); document.write( "\"2x%2B5%28630-x%29=2910\"
\n" ); document.write( "\"2x%2B%285%2A630%29%2B%285%2A%28-x%29%29=2910\"
\n" ); document.write( "\"2x%2B3150-5x=2910\"
\n" ); document.write( "\"-3x%2B3150=2910\"
\n" ); document.write( "\"-3x%2B3150-3150=2910-3150\"
\n" ); document.write( "\"-3x=-240\"
\n" ); document.write( "\"%28-3x%29%2F%28-3%29=%28-240%29%2F%28-3%29\"
\n" ); document.write( "\"x=80\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "80 childrens tickets were sold.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "To find the number of adults tickets sold, plug 80 into the first equation
\n" ); document.write( "\"x%2By=630\"
\n" ); document.write( "\"80%2By=630\"
\n" ); document.write( "\"y%2B80-80=630-80\"
\n" ); document.write( "\"y=550\"\r
\n" ); document.write( "\n" ); document.write( "550 adult tickets were sold.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "to check if this is correct plug it into the second equation\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2x%2B5y=2910\"
\n" ); document.write( "\"2%2880%29%2B5%28550%29=2910\"
\n" ); document.write( "\"160%2B2750=2910\"
\n" ); document.write( "\"2910=2910\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "80 childrens tickets and 550 adults tickets were sold.\r
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\n" ); document.write( "if you have any other questions, feel free to email me at ericahigley@yahoo.com
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