Overtime and salary

An employee earns R150 per hour, and the agreed normal working hours are 45 hours per week. Overtime is paid at 1 1/2 of the normal rate. Suppose Dave works 52 hrs during the first week of March. What will the total earnings for that particular week be?

Correct answer:

w =  8325

Step-by-step explanation:

$$\begin{gathered} r=1\frac{1}{2}=1+\frac{1}{2}=\frac{1\cdot 2+1}{2}=\frac{2+1}{2}=\frac{3}{2}=1\frac{1}{2}=1.5 \\ a=150\text{R/h} \\ b=r\cdot a=\frac{3}{2}\cdot 150=\frac{3\cdot 150}{2}=\frac{450}{2}=225\text{R/h} \\ {t}_1=45\text{h} \\ {t}_2=52-t_1=52-45=7\text{h} \\ w=a\cdot t_1+b\cdot t_2=150\cdot 45+225\cdot 7=8325 \end{gathered}$$

Try another example