Question

Angela works 18 hours a week for 12 weeks in the summer at the local swimming pool as a life guard. She earns $13 per hour. Her employer takes 15 percent out of her check for federal income tax withholding and 6.2 percent for Social Security and 1.45 percent for Medicare. She will receive 12 paychecks, one for each week she works. Calculate Angela’s weekly gross pay ​

Answer 1

We know that per week, she works 18 hours.

For each of these hours, she earns $13.

Then in one week, she earns a total of:

18*$13 = $234

This is her gross pay (the pay before the taxes apply)

Now we know that her employer takes:

15% for federal income tax withholding.

6.2% for Social Security

1.45% for Medicare.

If we add all of these, we get:

15% + 6.2% + 1.45% = 22.65%

This means that 22.65% of $234, is taken by her employer to pay taxes and such.

Then the amount left is:

M = $234 - ( 22.65%/100%)*$234 = $234 - 0.2265*$234 = $180.999

And we can round the last digit to $181 (because we can not have a 0.009 of a cent)

This means that her weekly net pay is $181

And she works for 12 weeks, this means that in total, she will earn:

12*$181 = $2,172