document.write( "Question 218143: Tickets to a show cost $2 for kids, $3 for seniors, and $5 for adults. If there were twice as many kids as seniors, and if 91 tickets were sold and $311 was collected, how many of each te of ticket was sold?\r
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document.write( "My class just started these kind of problems at school, and this is one of the example we have to do, and I don't understand it but I did similar problems as this. \n" );
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Algebra.Com's Answer #164373 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! Let k=# kids tickets, s=#senior tickets,,,and a=# adult tickets \n" ); document.write( ". \n" ); document.write( "k+s+a=91,,,,but k=2s \n" ); document.write( ". \n" ); document.write( "2s +s +a =91 \n" ); document.write( ". \n" ); document.write( "3s +a =91,,,,,or a = (91-3s) \n" ); document.write( ". \n" ); document.write( "$2*k + $3*s +$5*a =311 \n" ); document.write( ". \n" ); document.write( "2*(2s) + 3*s +$5*(91-3s) =311,,,,,lots of substitutions \n" ); document.write( ". \n" ); document.write( "4s +3s -15s +455 =311 \n" ); document.write( ". \n" ); document.write( "-8s = -144 \n" ); document.write( ". \n" ); document.write( "s=18 \n" ); document.write( ". \n" ); document.write( "subst back in,,,k=2s = 2*18 =36,,,,a= 91-3s=91-3*18= 37 \n" ); document.write( ". \n" ); document.write( "Total # tickets = k+s+a=36+18+37=91,,,,,ok \n" ); document.write( ". \n" ); document.write( "checking $,,,2*36 +3*18 +5*37 = 72+54+185 = 311,,,,ok \n" ); document.write( " |