#### Answer

8 hours overtime

#### Work Step by Step

We know that she earned \$7.50 for the first 35 hours and $1.5*7.50=11.25$ for the rest of the hours ($x-35$), where $x$ is the total amount of hours worked in the week. Her total earnings were \$352.5:
$352.5=7.5*35+11.25*(x-35)$
We solve for the total hours worked, $x$:
$x=(352.5-7.5*35)/11.25+35=43$
Thus she worked 43 hours total, or 43-35=8 hours overtime.