A carnival charges each person an admission fee and a fee per ride. A family pays 6 admission fees, and they pay for a total of 20 rides. A couple pays 2 admission fees, and they pay for a total of 18 rides. The family pays a total of $64. The couple pays a total of $44. Which augmented matrix can be used to determine the cost per admission and the cost per ride? hurry !!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The augmented matrix used is;
[6 20| 64]
[ 2 18| 44]

let x is the admission fee per person and y is the fee per ride.
Then the expression for  family;
6x + 20 y = $64
and the expression for couple;
2x + 18 y = $44
2(x+9y) = 44
x+9y = 44/2
x+9y = 22
x = 22-9y
now put this value of x in the family expression;
6(22-9y) + 20y = 64
132 - 54y + 20y = 64
-34y = -68
y = 2
now put the value of y in the expression x = 22-9y
x = 22 - 9(2)
x = 22 - 18
x = 4
Thus, the price of per admission fees is $4 and cost per ride is $2.