Let us assume total cost of the TV is = $x
Sarah pays a 20%.
So, the remaining % would be 100-20 = 80%.
Therefore, we can say that Sarah pays extra $96 is the 80% of x.
Let us repharse the problem now.
"80% of x is 96".
So, we can setup an equation.
80% of x = 96.
80% in decimal form can be written as 80/100 = 0.80.
Therefore, 0.80x = 96.
Dividing both sides by 0.80, we get
x =
x=120.
Therefore, total cost is $120.