Question 1085646

the normal hourly rate: ${{{2.80}}} per hour, and he worked {{{x}}} hours
the overtime rate {{{1.5}}} times the normal hourly rate: ${{{1.5*2.80=4.20}}} per hour, and he worked {{{y}}} hours

for {{{54}}} hours he received ${{{173.60}}}

{{{x+y=54}}}
{{{x=54-y}}}.........eq.1

{{{2.80x+4.20y=173.60}}}
{{{2.80x=173.60-4.20y}}}
{{{x=62-1.5y}}}.........eq.2

from eq.1 and eq.2 we have:

{{{54-y=62-1.5y}}}
{{{1.5y-y=62-54}}}
{{{0.5y=8}}}
{{{y=8/0.5}}}

{{{highlight(y=16)}}}-> the {{{overtime}}} hours 

{{{x=54-16}}}
{{{x=38}}}->the normal hours