The number of tickets sold are:
From the question, we have the following parameters:
Represent the children tickets with x and adults ticket with y.
So, we have the following system of equations
x + y = 63
6x + 8y = 444
Express the equations as a matrix
x y
1 1 63
6 8 444
Apply the following transformation
R2 = R2 - 6R1
This gives
x y
1 1 63
0 2 66
Apply the following transformation
R2 = 1/2R2
x y
1 1 63
0 1 33
From the above matrix, we have the following system of equations
x + y = 63
y = 33
Substitute y = 33 in x + y = 63
x + 33 = 63
Subtract 33 from both sides of the above equation
x = 30
Hence, 30 children tickets were sold and 33 adult tickets were sold
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