Question

Dan worked 50 hours last week. He earns $14.50 per hour plusovertime, at the usual rate, for hours exceeding 40 hours,What was his gross pay?

Answer 1

Answer:

The Number of hours that Tim worked last week is

$=50\text{ hours}$

The amount earned per hour is

$=14.50$

Thus, the amount earned per week without overtime will be

$\begin{gathered} =14.50\times40 \\ =580 \end{gathered}$

For overtime, he earns an additional half of the usual pay per hour.

Thus, the total he earns per hour with overtime is

$\begin{gathered} =14.50+(\frac{14.50}{2}) \\ =14.50+7.25 \\ =21.75 \end{gathered}$

The additional hours he worked as overtime is

$\begin{gathered} =50-40 \\ =10\text{ hours} \end{gathered}$

The amount he will earn plus overtime will be

$\begin{gathered} =580+(21.75\times10) \\ =580+217.50 \\ =797.50 \end{gathered}$

Hence,

His gross pay will be = $797.50