Question

Martin Peters earns $6.10 per hour for the first 40 hours each week. he is paid 1 1/2 times his regular pay for all hours over 40. Last week he worked 52 hours.

how much is his gross pay?

find the FICA tax at 7.65%

find his net pay if other taxes and deduction totaled $73.90.

Answer 1

he worked 52 hours last week
so he really worked 40 + 12 hours

40 hours were paid at $6.10
12 hours were paid at rate and a half, that is \(\begin{array}{ccllll}
rate&percent
\\\hline\\
6.10&100\\
x&150
\end{array}\implies \cfrac{6.10}{x}=\cfrac{100}{150}=\square
\\ \quad \\
\textit{12 hours at that rate is }12\square \)

sum both hourly wages, to get his gross pay

Answer 2

his federal tax, FICA, is 7.65% of his gross amount.... so \(\bf {\color{red}{ 7.65}}\%\ of \ \textit{gross pay}=\cfrac{{\color{red}{ 7.65}}}{100}\times \textit{gross pay}\)

his net pay will be "gross pay" - "all deductions or 73.90"