the first 35 hours she works each week and $21.75 an hour for every hour after that if she makes 768.50 one week how many hours did

Question

she paid $14.50 for the first 35 hours she works each week and $21.75 an hour for every hour after that if she makes 768.50 one week how many hours did she work 

Answer 1

Let's think about what we have.

 

$14.50 per hour for the first 35 hours.

$21.75 for each hour beyond the first 35.

 

If the total number of hours she works is x then x-35 is the number of hours she works after the first 35.

 

(14.50)(35)+21.75(x-35) = 768.50   

 

Distribute

507.50 + 21.75x - 761.25 = 768.50

 

Now combine terms and solve for x.

-253.75 + 21.75z = 768.50

21.75x = 1022.25

x = 47

She worked a total of 47 hours.  For the 1st 35 hours she was paid $14.50 an hour and for the extra 12 hours, she was paid $21.75 an hour.

Answer 2

h represents the overtime hours

768.50 = 35(14.50) + 21.75h

 

Can you solve for h and answer?