JoAnn works in the publicity office at the state university. She is paid $13 an hour for the first 31 hours she works each week and $22 an hour for every hour after that. If she makes $579 one week, how many hours did she work?
A) hours
B) hours
C) hours
D) hours
E) hours

Question

JoAnn works in the publicity office at the state university. She is paid $13 an hour for the first 31 hours she works each week and $22 an hour for every hour after that. If she makes $579 one week, how many hours did she work?
A) hours 
B) hours 
C) hours 
D) hours 
E) hours

Quizplus · Accepted Answer

Let JoAnn work $x$ hours after the first 31 hours, then we can set up the equation:
$13(31)+22x=579$
Simplifying and solving for $x$, we get:
$22x=410$
$x= \frac{410}{22}$
$x \approx 18.64$
Therefore, JoAnn worked 31 + 18.64 ≈ 49.64 ≈ 50 hours. 
The closest answer choice to 50 hours is (D) 11ebfe7e_33d7_3c17_96cc_2f5aaf5b04a9_TBX8806_11 hours.

JoAnn Works in the Publicity Office at the State University