document.write( "Question 65472: This is a word problem question that has to be solved using cramers rule\r
\n" ); document.write( "\n" ); document.write( "At a college basketball game, student tickets cost 12 dollars each, adult tickets cost 16 dollars each and childrens tickets cost 7 dollars each. Four times as many adult tickets as children tickets were sold, the total number of childrens tickets and adult tickets was half the number of student tickets. The total number of tickets sales was 33,043 dollars. How many of each type of ticket was sold?
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Algebra.Com's Answer #46032 by venugopalramana(3286)\"\" \"About 
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This is a word problem question that has to be solved using cramers rule
\n" ); document.write( "At a college basketball game, student tickets ( S SAY) cost 12 dollars each, adult tickets ( A SAY) cost 16 dollars each and childrens tickets ( C SAY) cost 7 dollars each. Four times as many adult tickets WERE SOLD as children tickets YOU MEAN? were sold,
\n" ); document.write( "C = 4A..............4A-C=0........4A+0S-1C=0................1
\n" ); document.write( " the total number of childrens tickets and adult tickets
\n" ); document.write( "=C+A = 4A+A=5A
\n" ); document.write( " was half the number of student tickets.
\n" ); document.write( "5A = S/2
\n" ); document.write( "S=10A..............10A-S=0.........10A-1S+0C=0.........2
\n" ); document.write( " The total number of tickets sales was 33,043 dollars.
\n" ); document.write( "AMOUNT GOT ON ADULT TICKETS = 16A
\n" ); document.write( "..............STUDENT TKTS. = 12S
\n" ); document.write( "..............CHILDREN TKTS.= 7C
\n" ); document.write( "TOTAL AMOUNT GOT =
\n" ); document.write( "16A+12S+7C =33043....THIS NUMBER APPEARS TO BE WRONG.CHECK BACK.I AM TAKINH IT AS 33128 AND SOLVING THE PROBLEM.....16A+12S+7C=33128....................3
\n" ); document.write( "SINCE YOU WANTED BY CRAMERS RULE .
\n" ); document.write( "COEFFICIENT DETERMINANT = KD =
\n" ); document.write( "|4,0,-1|
\n" ); document.write( "|10,-1,0|
\n" ); document.write( "|16,12,7|
\n" ); document.write( "= 4[-1*7-0*12]-1[10*12-(-1)16]=-28-120-16=-164
\n" ); document.write( "ADULT DETERMINANT = AD =
\n" ); document.write( "|0,0,-1|
\n" ); document.write( "|0,-1,0|
\n" ); document.write( "|33128,12,7|
\n" ); document.write( "= 33128[0*0-(-1)(-1)]=-33128
\n" ); document.write( "STUDENT DETERMINANT = SD =
\n" ); document.write( "|4,0,-1|
\n" ); document.write( "|10,0,0|
\n" ); document.write( "|16,33128,7|
\n" ); document.write( "=-10[0*7-(-1)(33128)=-331280
\n" ); document.write( "CHILDREN DETERMINANT = CD =
\n" ); document.write( "|4,0,0|
\n" ); document.write( "10,-1,0|
\n" ); document.write( "16,12,33128|
\n" ); document.write( "=4[-1*33128-0*12]=-132512
\n" ); document.write( "HENCE BY CRAMERS RULE ,WE HAVE
\n" ); document.write( "1/KD = A/AD=S/SD=C/CD
\n" ); document.write( "A=AD/KD=-33128/-164=202
\n" ); document.write( "S=SD/KD=-331280/-164=2020
\n" ); document.write( "C=CD/KD=-132512/-164=808
\n" ); document.write( " How many of each type of ticket was sold?
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