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
\n" ); document.write( "\n" ); document.write( "How many who paid were adults? \r
\n" ); document.write( "\n" ); document.write( "How many who paid were seniors?
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Algebra.Com's Answer #573478 by macston(5194)\"\" \"About 
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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
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