Let
x ------> eighteen year-olds will be voting on election day
y ------> total of eighteen year-olds
we know that
x/y=4/10
x=(4/10)y -------> equation A
In this problem we have
y=20,000
find the value of x
x=(4/10)20,000
x=8,000
But remember that x is eighteen year-olds will be voting on election day
so
To find out how many eighteen year-olds will not be voting on election day
subtract from the total
20,000-8,000=12,000
the answer is 12,000