Alex works as an office clerk and his office job pays him $11 per hour. Monica works as a cashier and her job pays her $12.75 per hour. Together, they worked 45 hours and earned a total of $530.


How many hours did Monica work in her job?


A.

20


B.

25


C.

30


D.

35

Verified Answer :

Alex_Hours + Monica_Hours = 45
Alex_Hours 11 + Monica_Hours 12.75 = 530

From the first equation:
Alex_Hours = 45 - Monica_Hours

Substituting into the section equation gives:
(45 - Monica_Hours) 11 + Monica_Hours 12.75 = 530
495 - Monica_Hours 11 + Monica_Hours 12.75 = 530
Monica_Hours 12.75 - Monica_Hours 11 = 530 - 495 = 35
Monica_Hours (12.75 - 11) = 35
Monica_Hours
1.75 = 35
Monica_Hours = 35 / 1.75 = 35 / (7 / 4) = 35 4 / 7 = 5 4 = 20

Monica worked 20 hours -- Answer A.

Answer:

The answer is A

Hope that helps