Question 65472
This is a word problem question that has to be solved using cramers rule 
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,
C = 4A..............4A-C=0........4A+0S-1C=0................1
 the total number of childrens tickets and adult tickets
=C+A = 4A+A=5A
 was half the number of student tickets.
5A = S/2
S=10A..............10A-S=0.........10A-1S+0C=0.........2
 The total number of tickets sales was 33,043 dollars.
AMOUNT GOT ON ADULT TICKETS = 16A
..............STUDENT TKTS. = 12S
..............CHILDREN TKTS.= 7C
TOTAL AMOUNT GOT =
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
SINCE YOU WANTED BY CRAMERS RULE .
COEFFICIENT DETERMINANT = KD = 
|4,0,-1|
|10,-1,0|
|16,12,7|
= 4[-1*7-0*12]-1[10*12-(-1)16]=-28-120-16=-164
ADULT DETERMINANT = AD =
|0,0,-1|
|0,-1,0|
|33128,12,7|
= 33128[0*0-(-1)(-1)]=-33128
STUDENT DETERMINANT = SD = 
|4,0,-1|
|10,0,0|
|16,33128,7|
=-10[0*7-(-1)(33128)=-331280
CHILDREN DETERMINANT = CD =
|4,0,0|
10,-1,0|
16,12,33128|
=4[-1*33128-0*12]=-132512
HENCE BY CRAMERS RULE ,WE HAVE
1/KD = A/AD=S/SD=C/CD
A=AD/KD=-33128/-164=202
S=SD/KD=-331280/-164=2020
C=CD/KD=-132512/-164=808
 How many of each type of ticket was sold?