document.write( "Question 940856: A movie theater charges $ 9 for adults and $ 6 for seniors. On a particular day when 334 people paid an admission, the total receipts were $ 2551. Round your answers to the nearest integers.\r
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document.write( "How many who paid were adults? \r
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document.write( "How many who paid were seniors? \n" );
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Algebra.Com's Answer #573478 by macston(5194)![]() ![]() You can put this solution on YOUR website! A=number of Adults, S=number of Seniors \n" ); document.write( "9A=revenue from Adults, 6S=revenue from Seniors \n" ); document.write( "On a day when 334 paid Admission \n" ); document.write( "T=Total paid admission=A + S =334 Eq1 \n" ); document.write( "R=Total Receipts=9A + 6S=2551 Eq2 \n" ); document.write( "Multiply both sides of Eq1 by 9: \n" ); document.write( "(9)(A + S) = (9)334 \n" ); document.write( "9A + 9S=3006 Eq3 Subtract Eq2 from Eq3 \n" ); document.write( "(9A + 9S)-(9A +6S)=3006-2551 \n" ); document.write( "9A+9S-9A-6S=455 \n" ); document.write( "3S=455 \n" ); document.write( "S=152 ANSWER 1 Number of Paid Seniors=152 \n" ); document.write( "A+S=334 \n" ); document.write( "A+152=334 \n" ); document.write( "A+152-152=334-152 Subtract 152 from both sides \n" ); document.write( "A=182 ANSWER 2 Number of Paid Adults=182 \n" ); document.write( "CHECK: \n" ); document.write( "Total receipts=9A+6S=2551 \n" ); document.write( "9(182)+6(152)=2551 \n" ); document.write( "1638+912=2551 \n" ); document.write( "2550=2551 The difference here attributed to rounding\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |