Question 117367
The worker worked {{{11}}} hours
Call {{{11-x}}} the regular workweek in hours
Call {{{x}}} the extra hours worked
Notice that {{{(11-x) + x = 11}}}
{{{114.75 = 9(11-x) + 13.5x}}}
{{{114.75 = 99 - 9x + 13.5x}}}
{{{4.5x = 15.75}}}
{{{x = 3.5}}}
{{{11-x = 7.5}}}
So, the length of a regular workday is 7.5 hours
check answer
{{{114.75 = 9(11-x) + 13.5x}}}
{{{114.75 = 9(11-3.5) + 13.5*3.5}}}
{{{114.75 = 9*7.5 + 47.25}}}
{{{114.75 = 67.5 + 47.25}}}
{{{114.75 = 114.75}}}
OK