Cathy earns $13.50 per hour for the first 40 hours worked in a week and $20.25 per hour for hours over 40. if she earns $661.50 one week. how many hours does she work? show your work using a variable that represents a time, in hours, that cathy works over 40 hours.

46 hours

Step-by-step explanation:

So first we need to find how much she would earn when she works the first 40 hours:

$13.50 × 40 = $540

So then we need to know how much she earned for working over 40 hours:

$661.50 - $540 = $121.50

Then we can work out how much she worked over 40 hours:

$121.50 ÷ $20.25 = 6 hours

Then we add the hours to get the total amount of time that she worked:

40 + 6 = 46 hours