document.write( "Question 960214: at the local movie theater, adult tickets are $6 and children under 12 pay only $4 if 34 tickets are sold for a total of $184, how many of the tickets were adult and how many were children tickets? \n" ); document.write( "
Algebra.Com's Answer #586862 by macston(5194)![]() ![]() You can put this solution on YOUR website! A=number of adult tickets; C=number of child tickets \n" ); document.write( "A+C=34 \n" ); document.write( "A=34-C \n" ); document.write( "$6A+$4C=$184 Substitute for A \n" ); document.write( "$6(34-C)+$4C=$184 \n" ); document.write( "$204-$6C+$4C=$184 Subtract $204 from each side. \n" ); document.write( "-$2C=-$20 Divide each side by -$2 \n" ); document.write( "C=10 ANSWER 1: Ten child tickets were sold. \n" ); document.write( "A=34-C=34-10=24 ANSWER 2: Twenty-four adult tickets were sold. \n" ); document.write( "CHECK: \n" ); document.write( "$6A+$4C=$184 \n" ); document.write( "$6(24)+$4(10)=$184 \n" ); document.write( "$144+$40=$184 \n" ); document.write( "$184=$184 \n" ); document.write( " |