Joann works in a publicity office at the state university. she is paid $ 13.00 an hour for the first 35 hours she works each week and $ 19.50 an hour for every hour after that. if she makes $ 572.00 one week, how many hours did she work?

Let the number of hours she work be x. The payment for first 35 hours will be added with the multiple of number of extra hours and payment for the same.

Forming the equation according above mentioned statement :

13 + 19.5x = 572

Solving the equation to find the number of hours worked by Joann

Shifting 13 to Right Hand Side of the equation

19.5x = 572 - 13

Performing subtraction on Right Hand Side of the equation

19.5x = 559

Shifting 19.5 to Right Hand Side of the equation at denominator

x = 559 ÷ 19.5

x = 28.67 hours

Rounding off the number of hours, we get the value = 29

So, Joann worked for 29 extra hours. To find the total number of hours she worked, we will simply add her working hours.

Total number of hours Joann worked = 35 hours + extra hours

Total number of hours Joann worked = 35 + 29

Total number of hours Joann worked = 64 hours

Hence, Joann worked for 64 hours in week.

Learn more about calculations on time -

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