Let number of EP hooks = e
Let number of LP hooks = l
1e = $52 and 1l = $58

Target question => How many EP hooks did he sing?

Statement 1 => Nate sang a total of 9 hooks
e + l = 9 ; e = 9 - l
The exact value of l is unknown so target question cannot be answered, statement 1 is NOT SUFFICIENT

Statement 2 => Nate earned $492 from singing hooks
$52e + $58l = $492
$$Dividing\ through\ by\ 2$$ $$\frac{52e}{2}+\frac{58l}{2}=\frac{492}{2}$$
$$=26e+29l=246$$
Since e and l are expected to be whole integers ( for a whole hook )
$$then,\ 26e=246-29l$$ $$e\ =\ \frac{246-29l}{26}$$
For e to be an integer, 246 - 29l must be divisible by 6, the only pair of number that satisfies this is when e = 5 and l = 4
Statement 2 alone is sufficient

Answer = B