Solve the problem.
-Chelsea works two part time jobs. One job pays $6.75 per hour and the other pays $9.50 per hour. Last week Chelsea worked for 23 hours and earned $193.75. How many hours did she work at each job.
A)9 hours at $6.75 per hour and 14 hours at $9.50 per hour
B)11 hours at $6.75 per hour and 12 hours at $9.50 per hour
C)14 hours at $6.75 per hour and 9 hours at $9.50 per hour
D)11.9 hours at $6.75 per hour and 11.1 hours at $9.50 per hour

Question

Quizplus · Accepted Answer

Let the hours worked at the $6.75 per hour job be x and the hours worked at the $9.50 per hour job be y. We have two equations: x + y = 23 (total hours worked) and 6.75x + 9.50y = 193.75 (total earnings). Solving these equations simultaneously, we find that x = 9 and y = 14, which corresponds to option A.

Solve the Problem. -Chelsea Works Two Part Time Jobs. One Job Pays $6.75