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

Question

Mathematics

Answered

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

Sagot :

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Geoffcanyonid Geoffcanyonid · Answer 1

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.

AestheticPersonid AestheticPersonid · Answer 2

AestheticPersonid AestheticPersonid

Answer:

The answer is A

Hope that helps

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