Question 1005092
Let {{{ x }}} = total hours he worked that week
His overtimehours = {{{ x - 40 }}}
His overtime pay = {{{ 1.5*14.75*( x - 40 ) }}}
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{{{ 40*14.75 + 1.5 *14.75*( x-40 ) = 722.75 }}}
{{{ 590 + 22.125*( x-40 ) = 722.75 }}}
{{{  22.125*( x-40 ) = 132.75 }}}
{{{ x - 40 = 6 }}}
He worked 6 overtime hours
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check answer:
{{{ x - 40 = 6 }}}
{{{ x = 46 }}}
{{{ 40*14.75 + 1.5 *14.75*( x-40 ) = 722.75 }}}
{{{ 40*14.75 + 1.5 *14.75*(46-40 ) = 722.75 }}} 
{{{ 590 + 132.75 = 722.75 }}}
{{{ 722.75 = 722.75 }}}
OK