Answer
$\$1,350$.
Work Step by Step
Annual salary $=\$33,150$.
Holiday bonus $=\$750$.
The paycheck is $=x$.
Paycheck par month $=2x$.
Paycheck par year $=12(2x)=24x$.
Paycheck plus Holiday bonus $=$ Annual salary.
Plug all values.
$\Rightarrow 24x+750=33,150$
Subtract $750$ from both sides.
$\Rightarrow 24x+750-750=33,150-750$
Simplify.
$\Rightarrow 24x=32,400$
Divide both sides by $24$.
$\Rightarrow \frac{24x}{24}=\frac{32,400}{24}$
Simplify.
$\Rightarrow x=1350$
The gross amount of each paycheck $=\$1,350$.
